SSC CGL Mains 20241)The population of a place increased to 50,000 from 2016 to 2018 at the rate of 6% per annum, and continued the same trend for the next 3 years. If A is the population in 2016 and B is the population in 2020, both are approximated to the next possible integers, then the value of B − A is:
11680
, Avg: 00:03 , 100%✓ SSC CGL Mains 20242)![]()
40
SSC CGL Mains 20243)Amit gets 6% increase in his sale amount in the first year and 20% in the second year, with that his present sale is ₹254400, what was his sale (in ₹) two years ago?
200000
4)5% of the passengers who boarded Guwahati- New Delhi Rajdhani Express on 20th February, 2002 do not like coffee, tea and ice cream and 10% like all the three. 20% like coffee and tea, 25% like ice cream and coffee and 25% like ice cream and tea. 55% like coffee, 50% like tea and 50 % like ice cream.
A) If the number of passengers is 180, then the number of passengers who like ice cream only is ........
B) The percentage of passengers who like at least 2 of the 3 products is ........
18, 50%
5)In a city, there are 3 major newspapers A, B and C of which at least two are read by 35% of population. A and B are read by 15%. C is read by 45% and that all the three are read by 10%. Then the percentage of people who read the newspaper C alone is
15%
, Avg: 01:46 , 100%✓6)In an party, 70% people drink Coffee, 65% drink soft drink, 27% drink nothing, whereas 248 drink both. What is the total no. of people who attended party.
400
, Avg: 00:37 , 71%✓7)In an examination, 34% failed in maths and 42% failed in English. If 20% failed in both the subjects, find the percentage of students who passed in both the subjects?
44%
8)The entrance ticket at a theatre is Rs 250 when the price of the ticket was lowered, the sale of tickets increased by 50% while the collection recorded a decrease of 17.5%. Find the deduction on the ticket price
Rs. 112.5
, Avg: 01:44 , 20%✓9)The hourly wages of labour are increased by 12.5%, whereas the weekly working hours are reduced by 8%. Find the percentage change in weekly wages?
3.5%
, Avg: 00:44 , 86%✓10)The height of a triangle is increased by 40%. What can be the maximum percentage increase in the length of the base so that the increase in area is restricted to a maximum of 60%?
14.28%
, Avg: 00:03 , 100%✓11)An ore Contains 25% of an alloy that has 90% iron. Other than this, in the remaining 75% of the ore, there is no iron. How many kilograms of the ore are needed to obtain 60kg of pure iron?
266.67 kg
, Avg: 00:12 , 50%✓12)Harshita receives an inheritance of a certain amount from his grandfather. Of this, she loses 32.5% in his effort to produce a film. From the balance, a tax driver stole a sum of Rs 100000 that she used to keep in her purse. Of the rest, she donated 20% to a charity. Further, she purchases a car for Rs 7.5 lakh. She then realizes that she is left with only Rs 2.5 lakh cash from his inheritance. What was the value of her inheritance?
Rs.20 Lakhs
, Avg: 00:38 , 50%✓13)In an election between two candidates, 75% of the voters cast their votes, out of which 2% votes were declared invalid. A candidate got 9261 votes which were 75% of the valid votes. Find the total numbers of voters enrolled in election.
16800
, Avg: 01:47 , 28%✓14)A candidate secured 30% marks in the examination and failed by 6 marks. Another secured 40% marks and got 6 marks more than the minimum marks to pass. Find maximum marks and the percentage of marks required to pass.
120, 35%
, Avg: 03:10 , 57%✓15)The value of x, if 31% of 5310 + x% of 2800 - 27% of 9200 = 7% of 830
32
Practice Test16)In an party, 70% people drink Coffee, 65% drink soft drink, 27% drink nothing, whereas 248 drink both. What is the total no. of people who attended party.
400
Practice Test17)In an examination, 34% failed in maths and 42% failed in English. If 20% failed in both the subjects, find the percentage of students who passed in both the subjects?
44%
Practice Test18)The hourly wages of labour are increased by 12.5%, whereas the weekly working hours are reduced by 8%. Find the percentage change in weekly wages?
3.5%
Practice Test19)The entrance ticket at a theatre is Rs 250 when the price of the ticket was lowered, the sale of tickets increased by 50% while the collection recorded a decrease of 17.5%. Find the deduction on the ticket price (in Rs)
112.5
Practice Test20)The price of sugar is reduced by 25% but in spite of the decrease, Aayush ends up increasing his expenditure on sugar by 20%. What is the percentage change in his monthly consumption of sugar?
60% increase
Practice Test21)If the price of sugar increases by 20% one can buy 2 kg less for Rs 50. What is the amount of sugar that could be bought before the price hike?
12 kg
Practice Test22)How much pure alcohol has to be added to 400 ml of a solution containing 15% of alcohol to change the concentration of alcohol in a mixture of 32%.
100 ml
Practice Test23)When the price of eggs is reduced by 20% it enables a man to buy 20 more eggs for Rs 40. Find the reduced price per egg.
40 paise
Practice Test24)If food prices go up by 10%. By how much percent should a man reduce his consumption so as not to increase his expenditure?
100/11 %
Practice Test25)The height of a triangle is increased by 40%. What can be the maximum percentage increase in the length of the base so that the increase in area is restricted to a maximum of 60%?
14.28%
Practice Test26)The length, Breadth and height of room in the shape of a cuboid are increased by 10%, 20% and 50% respectively. Find the percentage change in the volume of the cuboid.
98%
Practice Test27)On a shelf, the first row contains 25%more books than the second row and the third row contain 25% less books than the second row. If the total number of books contained in all the rows is 600 then find the number of books in the first row.
250
Practice Test28)Vicky’s salary is 75% more than Anshu’s. Vicky got a raise of 40% on his salary while Anshu got a raise of 25% on his salary. By what percent is Vicky’s salary more than Anshu’s Now?
96%
Practice Test29)A candidate secured 30% marks in the examination and failed by 6 marks. Another secured 40% marks and got 6 marks more than the minimum marks to pass. Find maximum marks and the percentage of marks required to pass.
120, 35%
Practice Test30)In an election between two candidates, 75% of the voters cast their votes, out of which 2% votes were declared invalid. A candidate got 9261 votes which were 75% of the valid votes. Find the total numbers of voters enrolled in election.
16800
Practice Test31)In the recent, climate conference in New York, out of 700 men, 500 women, 800 children present inside the building premises, 20% of the men, 40% of the women and 10% of the children were Indian. Find the percentage of the people who were not Indians?
79%
Practice Test32)The ratio of the number of boys and girls in an school is 3:2. 20% of the boys and 25% of the girls are scholarship holders. Find the percentage of the school student who are not scholarship holder
78%
Practice Test33)Fresh Fruit contains 68% water and dried fruit contains 20% water. How many kilograms of dried fruits can be obtained from 100kg of Fresh Fruits.?
40 kg
Practice Test34)An ore Contains 25% of an alloy that has 90% iron. Other than this, in the remaining 75% of the ore, there is no iron. How many kilograms of the ore are needed to obtain 60kg of pure iron?
266.67 kg
Practice Test35)Harshita receives an inheritance of a certain amount from his grandfather. Of this, she loses 32.5% in his effort to produce a film. From the balance, a tax driver stole a sum of Rs 100000 that he used to keep in her purse. Of the rest, she donated 20% to a charity. Further, she purchases a car for Rs 7.5 lakh. She then realizes that she is left with only Rs 2.5 lakh cash from his inheritance. What was the value of her inheritance?
Rs 20 lakhs
Practice Test36)A person gave 20% of his income to his elder son, 30% of remaining to the younger son & 10% of the balance he donated to a trust. He is left with Rs. 1008. Find his income
2000
Practice Test37)If the population of a town is 10000. It increases by 20% during the first year, then increases by 10% during the second year, and then decreases by 10%. Then what is the population of the town after three years?
11880
Practice Test38)Example 20% of 50% of 75% of 80 is
6
Practice Test39)If x% of a is the same as y% of b, then z% of b is
\(Xa \over y\) % of z
Practice Test40)A number is increased by 20% & then it is decreased by 10%. Then net increase/decrease in number is?
8% increase
Practice Test41)If 15% of (A + B ) = 25% of (A – B), then what percent of B is equal to A.
400
Practice Test42)If the price of the table becomes Rs 4375 after a reduction of 12.5% in print rate then what is the print rate?
5000/-
Practice Test43)When 75% of a number is added to 75 resultant is the same number. Find that number.
300
Practice Test44)If 80% of A = 50% of B & B = x% of A then find the value of x.
160
Practice Test45)If A’s income is less than that of B’s income by 40% then B’s income is more than that of A’s by what percent?
66.66%
SSC CGL 202246)The expenditure on the cost of living of a man and his family is 60% of his salary. He gets two increment of 30% and 60% in his salary. If his saving increases by 250% of his initial saving, then the new cost of living expenditure is what percentage (rounded off to the nearest integer) of the increased salary?
32.7 Percent
SSC CGL 202247)Raghav went to a shopping mall to purchase clothes. He had two coupons with him, but only one can be used on a single day. Using the first coupon, a total discount of 30% could be obtained on the total amount. Using the second coupon, he will get 80% off on the price of the costliest shirt if he buys at least 3 shirts. What is the price at which Raghav can purchase 3 shirts at a minimum price if the prices of the three shirts are Rs. 1,250, Rs. 1,540 and Rs. 1,375?
Rs. 2,915.50
, Avg: 00:33 , 100%✓ SSC CGL 202248)Out of an earning of Rs. 720, Pankaj spends 65%. How much does he save?
Rs. 252
SSC CGL 202249)A number is decreased by 20% to get another number. The number so obtained is increased by 200% to get a third number. The difference of the third number and the original number is what percentage more or less than the difference of second and the third number?
Less, 12.5 Percent
, Avg: 02:07 , 100%✓ SSC CGL 202250)The sum of two numbers is 680. If the bigger number is decreased by 15% and the smaller number is increased by 15%, then the resultant numbers are equal. Find the smaller number.
291
, Avg: 01:19 , 100%✓ SSC CGL 202251)Shiva’s monthly salary is Rs. 75,000. He spends Rs. 12,000 on household items, Rs. 14,000 on LIC and mutual funds, Rs. 15,000 on his children’s education, and keeps Rs. 10,000 for miscellaneous expenses. His savings are Rs. 21,000 per month and he donates the rest of the amount to an orphanage. The percentage of his income that he donates is:
4%
, Avg: 01:10 , 75%✓ SSC CGL 202252)Raju, Ravi and Ashok contested an election. 5% votes polled were invalid. Raju got 30% of the total votes. Ravi got 32% of the total votes. The winner got 5136 more votes than the person who received the least number of votes. Find the total number of votes polled.
171200
, Avg: 00:46 , 40%✓ SSC CGL 202253)The ratio of expenditure to savings of a woman is 5 ∶ 1. If her income and expenditure are increased by 10% and 20%, respectively, then find the percentage change in her savings.
40%
, Avg: 02:17 , 100%✓ SSC CGL 202254)The price of a scooter increases successively by 10%, 5% and 15%. What is the total percentage increase in price of scooter?
\(32 \frac{33}{40} \%\)
, Avg: 00:54 , 100%✓ SSC CGL 202255)The length and breadth of a rectangle are increased by 8% and 5%, respectively. By how much percentage will the area of the rectangle increase?
13.4%
, Avg: 00:23 , 100%✓ SSC CGL 202256)A person's salary was increased by 50% and subsequently decreased by 50%. How much percentage does he lose or gain?
Loss of 25%
, Avg: 00:48 , 100%✓ SSC CGL 202257)Ankita's weight is 20% less than that of her grandmother. The grandmother weighs 26 kg less than grandmother's husband, whose weight is 81 kg. If Ankita's brother is 8 kg heavier than Ankita, then what is the weight (in kg) of Ankita's brother?
52
SSC CGL 202258)Person A started a business by investing Rs. 65,000. After a few months, B joined him by investing Rs. 50,000. Three months after the joining of B, C joined the two with an investment of Rs. 55,000. At the end of the year, A got 50% of profit as his share. For how many months did A alone finance the business?
3
, Avg: 00:15 , 100%✓ SSC CGL 202259)A person's salary was decreased by 50% and subsequently increased by 50%. By what much percent does his salary increase or decrease?
Decrease 25%
, Avg: 01:07 , 86%✓ SSC CGL 202260)A is 25% more than B, and B is 40% less than C. If C is 20% more than D, then A is what percentage less than D?
10%
, Avg: 00:37 , 100%✓ SSC CGL 202261)Numbers A and B are 0% and 50%, respectively, more than the number C. The ratio of A to that of B is:
13 ∶ 15
, Avg: 00:30 , 50%✓ SSC CGL 202262)A fruit seller sells 45% of the oranges that he has along with one more orange to a customer. He then sells 20% of the remaining oranges and 2 more oranges to a second customer. He then sells 90% of the now remaining oranges to a third customer and is still left with 5 oranges. How many oranges did the fruit seller have initially?
120
, Avg: 01:39 , 71%✓ SSC CGL 202263)A is 120% of B and B is 65% of C. If the sum of A, B and C is 121.5, then the value of C - 2B + A is:
24
, Avg: 01:19 , 66%✓ SSC CGL 202264)In an election between two candidates, 5% of the registered voters did not cast their vote. 10% of the votes were found to be either invalid or of NOTA. The winning candidate received 60% votes in his favour and won the election by 17271 votes. Find the number of registered voters.
101000
SSC CGL 202265)If a positive number ‘k’ when multiplied by 30% of itself gives a number which is 170% more than the number ‘k’, then the number ‘k’ is equal to :
6
, Avg: 01:05 , 55%✓ SSC CGL 202266)The price of an item is reduced by 20%. As a result, customers can get 2 kg more of it for ₹360. Find the original price (in ₹) per kg of the item.
45
, Avg: 01:24 , 100%✓ SSC CGL 202267)A spends 65% of his income. His income is increased by 20.1% and the expenditure is increased by 20%. By what percent (correct to one decimal place) does his saving increase or decrease?
Increase by 20.3%
, Avg: 00:38 , 100%✓ SSC CGL 202268)A person's salary was decreased by 50% and subsequently increased by 50% and then again increased by 100%. How much percentage does he lose or gain?
Gain of 50%
, Avg: 01:54 , 85%✓ SSC CGL 202269)\({ 11{} \over 5} \) of a number A is 22% of a number B. The number B is equal to 2.5% of a third number C. If the value of C is 5500, then the sum of 80% of A and 40% of B is:
66
, Avg: 01:57 , 85%✓ SSC CGL 202270)The price of petrol shot up by 5%. Before the hike, the price was Rs. 82 per litre. A man travels 3045 km every month and his car gives a mileage of 15 km per litre. What is the increase in the monthly expenditure (to the nearest Rs.) on the man's travel due to the hike in the petrol prices?
832
, Avg: 01:53 , 33%✓ SSC CGL 202271)In a manufacturing unit, it was noted that the price of raw material has increased by 25% and the labour cost has gone up from 30% of the cost of raw material to 38% of the cost of the raw material. What percentage of the consumption of raw material be reduced to keep the cost the same as the before the increase?
24.6%
, Avg: 02:07 , 46%✓ SSC CGL 202272)Some students (only boys and girls) from different schools appeared for an Olympiad exam. 20% of the boys and 15% of the girls failed the exam. The number of boys who passed the exam was 70 more than that of the girls who passed the exam. A total of 90 students failed. Find the number of students that appeared for the exam.
500
, Avg: 02:11 , 100%✓ SSC CPO 202073)A's salary is 35% more than B's salary. How much per cent is B's salary less than that of A's?
(correct to the nearest integer)
26%
, Avg: 01:13 , 66%✓ SSC CPO 202074)If the numerator of a fraction is increased by 60% and the denominator is increased by 40%, then the resultant fraction is \(\frac{{16}}{{63}}\). The original fraction is:
\(\frac{{2}}{{9}}\)
, Avg: 02:35 , 100%✓ SSC CPO 202075)Ramesh spends 40% of his monthly salary on food, 18% on house rent, 12% on entertainment, and 5% on conveyance. But due to a family function, he has to borrow Rs. 16,000 from a money lender to meet the expenses of Rs. 20,000. His monthly salary is:
Rs. 16,000
, Avg: 02:54 , 50%✓ SSC CPO 202076)In an entrance examination at different centres, a total of 25, 30, 40, 45, 60 and 100 students appeared. The pass percentages of the different centres are 20%, 30%, 35%, 40%, 50% and 75%, respectively. The pass percentage of the entrance examination is: (correct to the nearest integer)
50%
, Avg: 00:34 , 100%✓ SSC CPO 202077)If A's salary is 30% more than B's salary, then by what percentage is B's salary less than that of A ? (correct to one decimal place)
23.1%
, Avg: 00:21 , 100%✓ SSC CPO 202078)If decreasing 110 by x% gives the same result as increasing 50 by x%, then x% of 650 is what percentage (correct to the nearest integer) more than (x - 10)% of 780 ?
14%
SSC CPO 202079)The price of diesel is increased by 26%. A person wants to increase his expenditure by 15% only. By what percentage, correct to one decimal place, should he decrease his consumption ?
8.7%
, Avg: 01:14 , 100%✓ SSC CPO 202080)A class has five sections that have 25, 30, 40, 45 and 60 students, respectively. The pass percentage of these sections are 20%, 30%, 35%, 40% and 100%, respectively. The pass percentage of the entire class is:
53%
, Avg: 04:24 , 50%✓ SSC CPO 202081)If 25% of 400 + 35% of 1260 + 27% of 1800 = 1020 + x, then the value of x lies between:
6 to 10
, Avg: 01:36 , 66%✓ SSC CPO 202082)A number is first increased by 40% and then decreased by 25%, again increased by 15% and then decreased by 20%. What is the net increase/decrease per cent in the number?
3.4% decrease
SSC CPO 202083)If 49% of X = Y, then Y% of 50 is:
24.5% of X
, Avg: 01:04 , 100%✓ SSC CPO 202084)A person's salary has increased from Rs. 7,000 to Rs. 12,000. What is the percentage increase in his salary?
\(71 \frac{3}{7} %\)%
SSC CPO 202085)If house tax is paid before the due date, one gets a reduction of 12% on the amount of the bill. By paying the tax before the due date, a person got a reduction of Rs. 2,100. The amount (in Rs.) of house tax paid was:
15,400
, Avg: 01:29 , 100%✓ SSC CPO 202086)The monthly salary of a person was Rs. 75,000. He used to spend on Family Expenses (E), Taxes (T), Charity (C) and rest were his savings. E was 60% of the income, T was 20% of E, and C was 15% of T. When his salary got raised by 40% he maintained the percentage level of E, but T became 30% of E and C became 20% of T. The ratio of the savings of his earlier salary to that of his present salary is:
655 : 644
, Avg: 01:14 , 100%✓ SSC CPO 202087)A man spends 75% of his income. If his income increases by 28% and his expenditure increases by 20%, then what is the increase or decrease percentage in his savings?
52% increase
, Avg: 00:28 , 100%✓ SSC CPO 202088)A single discount equivalent to three successive discounts of 6%, 15% and 14% is:
31.286%
, Avg: 00:44 , 100%✓ SSC CPO 202089)A person's salary increased from Rs.8,100 to Rs. 9,000. What is the percentage increase in his salary?
\(11 \frac 1 9 \%\)
SSC CPO 202090)Rice is now being sold at Rs. 29 per kg. During the last month, its cost was Rs. 25 per kg. By how much percentage should a family reduce its consumption, so as to keep the expenditure the same as before?
(correct to nearest integer)
14%
SSC CPO 202091)The monthly salary of a person was Rs. 50,000. He used to spend on Family expenses (E), Taxes (T), Charity (C), and the rest were his savings. E was 60% of the income, T was 20% of E, and C was 15% of T. When his salary got raised by 40%, he maintained the percentage level of E, but T becomes 30% of E and C becomes 20% of T. The difference between the two savings (in Rs.) is:
220
, Avg: 01:40 , 100%✓ SSC CPO 202092)If house tax is paid before the due date, one gets a reduction of 12% on the amount of the bill. By paying the tax before the due date, a person got a reduction of Rs. 2,100. The amount (in Rs.) of house tax was:
17,500
, Avg: 03:48 , 66%✓ SSC CPO 202093)If decreasing 110 by x% gives the same result as increasing 50 by x%, then x% of 650 is what percentage more than (x + 20)% of 180?
(correct to the nearest integer)
136%
, Avg: 01:05 , 100%✓ SSC CPO 202094)The price of diesel increased by 16%. A person wants to increase his expenditure on diesel by 10% only. By what percentage, correct to one decimal place, should be reduce his consumption?
5.2%
, Avg: 00:29 , 88%✓ SSC CPO 202095)If A's salary is 60% more than B's salary, then by what percentage is B's salary less than that of A?
37.5%
SSC Selection Post Matric 202296)Amit saves 20% of his income. If his income increases by 38% and expenditure increases by 60%, then by what per cent does his saving increase /decrease?
50% (decrease)
, Avg: 00:41 , 100%✓ SSC Selection Post Matric 202297)The difference between 80% and 65% of the same number is 135. What is 49% of the same number?
441
SSC Selection Post Matric 202298)The price of an item increased by 10%. Anil planned to increase the expenditure on it by 5%. By what percentage must its consumption be reduced so that the expenditure on it is met within the increased amount allocated for it?
\(4\frac{6}{11}\)%
SSC Selection Post Matric 202299)The population of a town increased from 268000 in 2007 to 375200 in 2010. What is the percentage increase in the population of the town in three years?
40%
, Avg: 00:59 , 100%✓ SSC Selection Post Matric 2022100)A and B obtained 488 marks and 376 marks, respectively, in the same test. If A obtained 61% marks, then the percentage of marks obtained by B is:
47%
SSC Selection Post Matric 2022101)A, B and C are three numbers. A is 45% more than C, and B is 20% less than the sum of A and C. Approximately by what percentage is A less than B?
26%
SSC Selection Post Matric 2022102)The income of Sunita is Rs. 48,000. She saves 15% of her income. If her expenditure increases by 20% and her income increases by 15%, then what is the increase/decrease in her savings?
Decrease by Rs. 960
SSC Selection Post Matric 2022103)The cost of a car is 150% more than that of a scooter. If the cost of the car decreases by 15% and that of the scooter increases by 20%, then what is the percentage increase/decrease in the total cost of 4 cars and 5 scooters?
Decrease by \(3 \frac{1}{3}\)%
SSC Selection Post Matric 2022104)The income of a company increases 18% per year. If its income is Rs. 29,93,660 in the year 2020, what was the income in (Rs. ) in 2018?
21,50,000
SSC Selection Post Matric 2022105)A is 30% more than B and C is 18% less than the sum of A and B. By what percentage is C more than A (correct to one decimal place)
45.1%
SSC Selection Post Matric 2022106)The number of seats in a school is increased by 18%, and the fees are also increased by 11%. What is the percentage increase in the revenue collected?
30.98%
SSC Selection Post Matric 2022107)If x exceeds 25% of itself by 72, and y exceeds 40% of itself by 60, then y exceeds x by:
(Correct to one decimal place)
4.2%
, Avg: 00:58 , 80%✓ SSC Selection Post Matric 2022108)The price of an item increases by 20%, then increases by 25%, and after that decreases by 45%. If the last price of the article is Rs. 396, then what is the original price of the article?
Rs. 480
, Avg: 00:28 , 100%✓ SSC Selection Post Matric 2022109)A man spends 70% of his income. His income is increased by 28% but expenditure remains as earlier. By what percentage are his savings increased (correct to one decimal place)?
93.3%
, Avg: 01:50 , 100%✓ SSC Selection Post Matric 2022110)The income of Anil is ₹45,000. He saves 16% of his income. If his income decreases by 5% and the expenditure increases by 2%, then his saving decrease by:
₹3,006
, Avg: 02:40 , 100%✓ SSC Selection Post Matric 2022111)The price of rice, per kg, is increased by 18% and the quantity of rice brought decreased by 22%. What is the percentage change in the amount spent on rice?
7.96% decrease
, Avg: 02:16 , 50%✓ SSC Selection Post Matric 2022112)A man's monthly salary increases from Rs. 36890 to Rs. 47,980. What is the percentage increase (to the nearest integer) in his monthly salary?
30%
, Avg: 00:46 , 66%✓ SSC Selection Post Matric 2022113)Anu spends 80% of his income. If his income increases by 12% and the savings decrease by 10% then what is the percent increase in the expenditures?
17.5%
, Avg: 02:09 , 50%✓ SSC Selection Post Matric 2022114)In a test consisting of 80 questions, Anita answered 60% of the first 55 questions correctly. What per cent of the remaining questions should she answer correctly to obtain 70% in the entire exam?
92%
SSC Selection Post Matric 2022115)If (3x -10) % of 150 exceeds x % of 300 by 15, then by what per cent is (2x + 5)% of 220 more than (x + 10) % of 250?
32%
, Avg: 01:10 , 100%✓ SSC Selection Post Matric 2022116)If 1.7% of 800 x 2.5 % of a = 382.5, then the value of a is:
1125
, Avg: 01:45 , 75%✓ SSC Selection Post Matric 2022117)The income of X is 15% less than that of Y and the income of Z is 60% less than the combined income of X and Y. By what percent is the income of Z less than the income of X? (Correct to one decimal place)
12.9%
SSC Selection Post Matric 2022118)If x % of 190 is 15 less than (x + 10) % of 180, then (x + 30) % of 90 is what per cent more than x% of 150?
20%
, Avg: 01:07 , 100%✓ SSC Selection Post Matric 2022119)Karuna and Aditi scored 434 and 336 marks, respectively, in an examination. If Karuna scored 62% marks, then what is the percentage of marks scored by Aditi?
48%
, Avg: 01:09 , 100%✓ SSC Selection Post Matric 2022120)48% of the total marks is required to pass an examination and 80% to get a First Class with distinction. A student scored 817 marks and failed by 47 marks. How many marks should he secure to get First Class with distinction?
1440
, Avg: 01:00 , 100%✓ SSC Selection Post Matric 2022121)There are twice as many girls as boys in a class. If 45% of the girls and 30% of the boys have submitted their consent for the outstation tour, then what percent of the students have NOT submitted consent for the tour?
60%
, Avg: 02:52 , 37%✓ SSC CHSL 2021122)A's salary is 15% less than B's salary. B's salary is 30% less than C's salary. By how much percent approximately, is C's salary more than A's salary?
68
, Avg: 01:47 , 100%✓ SSC CHSL 2021123)Renu spends 68% of her income. When her income increases by 40%, she increases her expenditure by 30%, Her savings are increased by:
61.25%
, Avg: 02:40 , 85%✓ SSC CHSL 2021124)A, B and C are three positive numbers such that A is 70% of B, and B is 40% of C. If the sum of all three numbers is 336, then 15% of the sum of B and C is:
42
, Avg: 01:13 , 50%✓ SSC CHSL 2021125)Mohan's income is 40% more than Shyam's income. Shyam's income is what percentage less than Mohan's income?
\(28\frac{4}{7}\%\)
, Avg: 01:06 , 66%✓ SSC CHSL 2021126)When the price of an item was reduced by 20%, its sales increased by x%. If there is an increase of 25% in the receipt of the revenue, then the value of x is:
56.25%
, Avg: 02:01 , 66%✓ SSC CHSL 2021127)In a workshop with 80 students and 10 resource persons, sweets were distributed at the end of the workshop. The amount spent for distributing sweets to each student was 30% of the total number of students and amount spent towards each resource person was 40% of the total number of students. The total amount spent for sweets distribution in the workshop was:
Rs. 2,240
, Avg: 00:57 , 100%✓ SSC CHSL 2021128)A person saves 25% of his income. If his income increases by 20% and his saving remains the same, then what will be the increased percentage of his expenditure?
\(26\frac{2}{3}\)
, Avg: 01:58 , 80%✓ SSC CHSL 2021129)Ramesh saves \(26\frac{2}{3}\% \) of his monthly salary. When his expenses are increased by 20%, he is able to save Rs. 4,080 per month. His monthly salary is:
Rs. 34,000
, Avg: 01:09 , 57%✓ SSC CHSL 2021130)The average pass percentage of girls in class X examination in a school is 85% and that of boys is 83%. The average pass percentage of all boys and girls in class X of that school is 83.7%. Find the percentage of the number of girls in class X of that school.
35%
, Avg: 00:08 , 100%✓ SSC CHSL 2021131)Gaurav earns Rs. 800 per day. After some weeks, he earns Rs. 960 per day. What is the percentage increase in his daily earnings?
20%
, Avg: 03:43 , 50%✓ SSC CHSL 2021132)The present population of a village (males and females) is 7640. If the number of males increases by 25% and the number of females increases by 15%, then the population will become 9214. The difference between the present population of males and females in the village is:
920
, Avg: 00:53 , 100%✓ SSC CHSL 2021133)Two numbers are less than a third number by 37% and 30%, respectively. By what percentage is the second number more than the first?
\(\frac{100}{9}\)
, Avg: 01:51 , 100%✓ SSC CHSL 2021134)A number P is 20% more than a number Q but 10% less than a number R. What percentage is number Q of number R?
75
, Avg: 01:05 , 75%✓ SSC CHSL 2021135)The income of A is 40% less than that of B. If A gets 25% rise in his income B gets 40% rise in his income, then the percentage increase (correct to two decimal places) in the combined incomes of A and B will be:
34.38
, Avg: 00:53 , 50%✓ SSC CHSL 2021136)The price of a commodity increases by 28%. However, the expenditure on it increases by 12%. What is the percentage increase or decrease in its consumption?
12.5 % Decrease
, Avg: 01:16 , 80%✓ SSC CHSL 2021137)In a constituency, 55% of the total number of voters are males and the rest are females. If 40% of the males are illiterate and 40% of the females are literate, then by what percentage is the number of illiterate females more than that of the illiterate males (correct to one decimal place)?
22.7%
, Avg: 01:30 , 77%✓ SSC CHSL 2021138)The population of a town increased by 15% in 2018 and 10% in 2019, Due to a pandemic, it decreased by 10% in 2020. What was the percentage increase in the population of the town in 3 years?
13.85%
, Avg: 01:05 , 93%✓ SSC CHSL 2021139)A is 150% of B and B is 40% of C. If A + B + C = 20, then the value of 2B + 3C - 4A is equal to:
14
, Avg: 01:51 , 60%✓ SSC CHSL 2021140)Savita spends 20% of her monthly income on groceries, 15% of the remaining on rent and then 60% of the left over on children's education and others. If she saves Rs.9,792 a month, then how much (in Rs.) does she spend on rent?
4,320
, Avg: 01:01 , 66%✓ SSC CHSL 2021141)The price of an article increases by 5% every year. If the difference between its price at the end of the second and the third year is Rs. 52.50, then what will be its price at the end of the first year?
Rs. 1000
, Avg: 01:35 , 87%✓ SSC CHSL 2021142)If A is 28% less than B and C is 25% less than the sum of A and B, then by what percentage will C be more than A (correct to one decimal place)?
79.2%
, Avg: 02:15 , 69%✓ SSC CHSL 2021143)If decreasing 180 by x% gives the same result as increasing 60 by x%, then x% of 410 will be more than (x + 20)% of 210 (correct to two decimal places) by:
39.46%
SSC CHSL 2021144)The expenditure on food is 35% of the income of a particular family. If the income is raised by 30%, then how much percentage (to the nearest whole number) of food expenditure is less than the initial percentage to keep the food expenditure unchanged?
23
, Avg: 04:15 , 100%✓ SSC CHSL 2021145)35% of the students in a college are girls and the rest are boys. The total number of students in the college is 2800. 75% of the boys and 85% of the girls passed the final examination. The percentage of total students who passed the final examination is :
78.5%
, Avg: 00:37 , 100%✓ SSC CHSL 2021146)A number is mistakenly multiplied by 7/5 instead of being multipiled by 3/2, what is the percentage change in the result due to this mistake?
\(6\frac{2}{3}\% \)
, Avg: 02:06 , 57%✓ SSC CHSL 2021147)In a class, 60% of the students are girls and the rest are boys. 45% of the girls pass an examination and 40% of the boys failed. If the number of girls who failed is 66, the number of boys who passed the examination is:
48
, Avg: 01:59 , 42%✓ SSC CHSL 2021148)In an examination of 180 marks of a subject, 75% marks are allocated for theory and the rest for project work. Veena scored 60% in theory. What percentage of marks must she score in the project to achieve an overall 62% marks in the subject?
68
, Avg: 00:59 , 90%✓ SSC CHSL 2021149)In a survey, it was found that in a constituency, 55% of voters are male and the rest are female. 40% of the male voters are literate and \(33\frac{1}{3}\%\) of the female voters are illiterate. What percentage of the voters are literate?
52%
, Avg: 00:55 , 72%✓ SSC CHSL 2021150)Rita spends 25% of her monthly income on house rent and 30% of the remaining income on food. If she saves Rs. 5,250, what is her monthly income?
Rs. 10,000
, Avg: 01:04 , 87%✓ SSC CHSL 2021151)Raghav spends 80% of his income. If his income increases by 12% and his expenditure increases by 17.5%, then what is the percentage decrease in his savings?
10%
, Avg: 01:02 , 71%✓ SSC CHSL 2021152)What is the value of x, if 25% of 480 + 30% of 500 + x% of 90 = 35% of 900?
50
, Avg: 00:41 , 70%✓ SSC CHSL 2021153)Geeta scored 30% and failed by 50 marks, while Sandeep who scored 45% marks, got 25 marks more than the minimum marks required to pass the examination. How many marks did Vimal get if he scored 64% marks ?
320
, Avg: 01:25 , 64%✓ SSC CGL 2020154)In an examination in which the full marks were 500, A scored 25% more marks than B, B scored 60% more marks than C and C scored 20% less marks than D. If A scored 80% marks, then the percentage of marks obtained by D is :
50%
Let D's marks be x. C's marks = 80% of x = \({4x\over5}\) ;
B's marks = 160% of \({4x\over5}\) = \(32x\over25\) ;
A' marks = 125% of \(32x\over25\) = \(8x\over5\) ;
According to the question : \({8x\over5}=\) 80% of 500 ; ⇒ x = 250 ;
Required percent = \({250\over500}\times100\) = 50%
, Avg: 01:14 , 37%✓ SSC CGL 2020155)A and B spend 60% and 75% of their incomes, respectively. If the savings of A are 20% more than that of B. then by what percentage is the income of A less than the income of B?
25
Let the income of A and B be X and Y respectively.
Saving of A = \(X - \frac{60}{100} \times X\) = 0.4X;
Saving of B = \(Y - \frac{75}{100} \times Y = 0.25Y\);
If the savings of A are 20% more than that of B then,
Saving of A = \(0.25Y \times \frac{120}{100} = 3Y/10\); ⇒ 0.4X = 3Y/10; ⇒ 4X = 3Y;
Ratio of income of A and B = 3 : 4 ;
Required percentage = \(\frac{(4 - 3)}{4} \times100\) = 25%
SSC CGL 2016156)In a city, 40% of the people are illiterate and 60% are poor. Among the rich, 10% are illiterate. The percentage of the illiterate poor population is
60
, Avg: 00:59 , 83%✓ SSC CGL 2020157)The price of sugar is increased by 20%. By what percentage must one cut down on the consumption of sugar, so that no extra amount has to be incurred on sugar?
\(16{2\over3}\)%
Required percent = \({20\over100+20}\times100 = 16{2\over3}\)%
, Avg: 01:02 , 60%✓ SSC CGL 2020158)The population of a city increased by 30% in the first year and decreased by 15% in the next year. If the present population is 11,050, then the population 2 years ago was:
10,000
Let 2 years ago the population of a city be x.
Population after 1 year =\( x \frac{130}{100}\) = 1.3x;
Population after 2 year = \(1.3x \frac{85}{100}\) = 1.105x;
11050 = 1.105x;
x = 10000
, Avg: 01:36 , 67%✓ SSC CGL 2020159)In a school, 4 % of the students did not appear for the annual exams. 10% of the students who appeared for the exams could not pass the exam. Out of the remaining students, 50% got distinction marks and 432 students passed the exam but could not get distinction marks. The total number of students in the school is:
1000
Let total number of students be x. According to the question, 50%of 90% of 96% of x = 432 ; ⇒ x = 1000
, Avg: 00:55 , 64%✓ SSC CGL 2020160)In an examination, Anita scored 31% marks and failed by 16 marks. Sunita scored 40% marks and obtained 56 marks more than those required to pass. Find the minimum marks required to pass.
264
Equate passing mark obtained by the students . Let total marks be x. then,\({31x\over100}+16={40x\over100}-56\); x = 800; So passing marks = \({31\times800\over100}+16 =264\)
, Avg: 01:09 , 75%✓ SSC CGL 2020161)Anu spends 68% of her monthly income. If her monthly income increases by 20% and her monthly savings increase by \(9{3\over8}\)%, then the percentage increase in her monthly expenditure is:
25%
Anu's monthly income = Rs. 100; Her expenses = Rs. 68; Her saving = Rs.(100-68) = Rs. 32; Her new income = Rs. 120 ;
Her saving = \((32+32\times{75\over8\times100})\) = Rs. 35; Her epenses = (120 - 35) = Rs. 85;
Percentage increase in expenses = \(({85-68\over68})\times100\) = 25%
, Avg: 00:43 , 40%✓ SSC CGL 2020162)If the radius of a circle is decreased by 11%, then the total decrease in the area of the circle is given as:
20.79%
Old radius be 'r' and old area = \(\pi r^2\); then new radius = \(89r\over100\); new area = \(\pi({89r\over100})^2\);
Change in area % = \({\pi({89r\over100})^2-\pi r^2\over\pi r^2}\times100\) = - 20.79%
, Avg: 00:47 , 85%✓ SSC CGL 2020163)By what number must the given number be multiplied to increase the number by 25%.
\(5\over4\)
Number to increase 25% = 125% = 125/100 = 5/4
, Avg: 01:27 , 83%✓ SSC CGL 2020164)When two equal amounts are deposited for 5 years and 3 years at the rate of 7% and 9% per annum respectively, and the difference of their simple interest is Rs 475. Then find the deposited amount.
Rs. 5,937.5
Difference of the interest = 475;
\(\frac{p \times 7 \times 5}{100} - \frac{p \times 9 \times 3}{100}\) = 475;
35p - 27p = 47500;
p = 47500/8 = Rs. 5937.5
, Avg: 01:37 , 66%✓ SSC CGL 2020165)A car dealer purchased an old car for Rs.1,08,500 and spent some amount on its maintenance. He sold it for Rs.1,56,250, there by earning a profit of 25%. How much money did he spend on the maintenance of the car?
Rs. 16,500
Total cost price of old car = 1,08,500 + maintenance money;
Selling price = 1,56,250;
Profit = 25%;
Total cost price = \(\frac{156250}{125} \times 100\) = 125000;
1,08,500 + maintenance money = 125000;
Maintenance money = 125000 - 108500 = Rs. 16,500
, Avg: 00:24 , 88%✓ SSC CGL 2020166)The price of cooking oil increased by 25%. Find by how much percentage a family must reduce its consumption in order to maintain the same budget?
20%
By the formula,
Decrements in the consumption in order to maintain the same budget =\( \frac{increment in the rate}{100 + increment in the rate} \times 100\)= \(\frac{25}{100 + 25} \times 100 = \frac{25}{125} \times 100 \)= 20%
, Avg: 00:51 , 100%✓ SSC CGL 2019167)A is 25% more than B and B is 40% less than C. If C is 30% more than D, then by what percent is A less than D?
2.5
Let B be 100, then A will be 125 ;
Now; \( {60 \over 100}C = 100 \) then; \(C = {500\over 3}\) ;
Also, \({130\over 100}D = C = {500\over 3}\) ; then \(D= {5000 \over 3 \times 13}\) ;
\({A \over D } \times 100 = {125 \times 3 \times 13\over 5000}\times 100= {195\over 2}\)%
Since we have to calculate less than percentage it will be \(100-{195\over 2} = 2.5\) %
, Avg: 01:10 , 50%✓ SSC CGL 2019168)If the price of petrol increases by 19%, and Sunita intends to spend only an additional 12% on petrol, by what percent should she reduce the quantity of petrol purchased (nearest to an integer)?
6
, Avg: 01:35 , 50%✓ SSC CGL 2019169)A spends 65% of his income. His income is increased by 20.1% and his expenditure is increased by 25%. His savings:
Increase by 11%
, Avg: 01:15 , 100%✓ SSC CGL 2019170)In a class, \(83\frac{1}{3}\)% of the number of students are girls and the rest are boys. If 60% of the number of boys and 80% of the number of girls are present, then what percentage of the total number of students in the class are absent?
\(23\frac{1}{3} \)
, Avg: 01:09 , 100%✓ SSC CGL 2019171)If 60% of a number is 120 more than 20% of the number, then 28% of the number is less than \(33\frac{1}{3}\)% of the number by:
16
, Avg: 01:22 , 100%✓ SSC CGL 2019172)In an examination, A obtained 10% more marks than B, B obtained 20% more marks than C and C obtained 32% less marks than D. If A obtained 272 marks more than C, then the marks obtained by B is:
1020
, Avg: 01:11 , 100%✓ SSC CGL 2019173)If 25% of half of x is equal to 2.5 times the value of 30% of one-fourth of y, then x is what percent more or less than y?
50% more
, Avg: 00:49 , 100%✓ SSC CGL 2019174)Basir’s working hours per day were increased by 15% and his wages per hour were increased by 20%. By how much percent did his daily earnings increase?
38
, Avg: 00:46 , 100%✓ SSC CGL 2019175)The price of oil is increased by 20%. However, its consumption decreased by \(8\frac{1}{3}\)% . What is the percentage increase or decrease in the expenditure on it?
Increase by 10%
, Avg: 03:34 , 100%✓ SSC CGL 2019176)Monika spends 72% of her income. If her income increases by 20% and savings increase by 15%, then her expenditure increases by: (correct to 1 decimal place)
21.9%
, Avg: 00:49 , 76%✓ SSC CGL 2019177)If the radius of a right circular cylinder is decreased by 20% while its height is increased by 40%, then the percentage change in its volume will be:
10.4% decrease
Volume of right circular cylinder =\( \pi r^2 h;\)
Now,
\(r_1 = 0.8r;
h_1 = 1.4h\);
Volume of right circular cylinder =\( \pi (0.8h)^2 \times 1.4h = 0.896\pi r^2 h;\)
Decrement in volume = \(\pi r^2 h - 0.896\pi r^2 h = 0.104\pi r^2 h\);
Percentage decrement in volume =\( \frac{0.104\pi r^2 h}{\pi r^2 h} \times 100 = 10.4%;\)
therefore The correct answer is option B.
, Avg: 01:26 , 50%✓ SSC CGL 2019178)In a constituency, 55% of the total number of voters are males and the rest are females. If 40% of the males are illiterate and 40% of the females are literate, then by what percent is the number of literate males more than that of illiterate females?
\(22\frac{2}{9} \)
Let the total number of voters be 100.
Number of male voters = 55;
Number of female voters = 100 - 55 = 45;
Literate males = 100% - 40% = 60% of the total males
= \(55 \times \frac{60}{100}\) = 33;
Illiterate females = 100% - 40% = 60% of the total females
=\( 45 \times \frac{60}{100} \)= 27;
Required percentage =\( \frac{33 - 27}{27} \times 100 = \frac{6}{27} \times 100 = 22 \frac{2}{9}\)
, 33%✓ SSC CGL 2019179)When the price of an item was reduced by 25%, then its sale was increased by x% . If there is an increase of 20% in the receipt of the revenue, then the value of x will be:
60
Revenue =\( price \times sale;\)
Let the price and sale be Rs.100 and 100 units.
Revenue = \(100 \times 100\) = Rs.10000;
ATQ,
1.2Revenue = \(100 \times \frac{75}{100} \times (100 + x)\);
\(1.2 \times 10000 = 75 \times (100 + x);
\)120000 = \(75 \times (100 + x);\)
x = 160 - 100 = 60
, Avg: 02:15 , 83%✓ SSC CGL 2019180)Radha marks her goods 25% above the cost price. She sells 35% of goods at the marked price, 40% at 15% discount and the remaining at 20% discount. What is her overall percentage gain?
11.25
Let the cost price be Rs.100 and total goods be 100.
cost price of 100 goods = 10000;
Radha marks her goods 25% above the cost price.
So, marked price = Rs.125;
ATQ,
\({{125 \times 35 }\over100}+ 125 \times {85\over100} \times 40 + 125 \times {80\over100} \times 25\) =
4375 + 4250 + 2500 = 11125;
Gain = 11125 - 10000 = 1125;
Percentage gain = \(\frac{1125}{10000} \times 100\) = 11.25%
, Avg: 02:17 , 75%✓ SSC CGL 2019181)A number is first increased by 16% and then increased by 14%. The number, so obtained, is now decreased by 30%. What is the net increase or decrease percent in the original number(nearest to an integer)?
7% decrease
Let the number be x;
ATQ,
Number is first increased by 16%,
So,
Obtained number = 1.16x;
Obtained number is increase by 14%;
So, obtained number = \(1.16x \times \frac{114}{100}\) = 1.3224x;
NUmber is decreased by 30%;
So, obtained number = \(1.3224x \times \frac{70}{100}\) = 0.9256;
Net decrement = x - 0.9256x = 0.0744;
Percentage decrement = \(\frac{0.074x}{x} \times 100\) = 7.4% = 7
, Avg: 01:03 , 76%✓ SSC CGL 2019182)Raghav spends 80% of his income. If his income increases by 12% and the savings decrease by 10%, then what will be the percentage increase in his expenditure?
17.5
Let the income of Raghav be Rs.100.; Expenditure = 80; Saving = Rs.20; Income increases by 12% and the savings decrease by 10%, So, income = 112, Saving =\( 20 \times \frac{90}{100}\) = 18 ; Expenditure = 112 - 18 = 94 ;Increment in his expenditure = 94 - 80 = 14 ; Percentage increment in expenditure =\( \frac{14}{80} \times 100\) = 17.5%
, Avg: 01:41 , 80%✓ SSC CGL 2019183)A shopkeeper bought 120 quintals of wheat, 20% of it was sold at 25% loss. At what percent gain should he sell the rest to gain 25% on the whole transaction?
37\({1 \over 2}\)
Let the rate of 120 quintals be Rs.120.
For 25% gain = \(120 \times \frac{125}{100}\) = Rs.150;
20% of the 120 quintals = \(20 \times \frac{120}{100} \)= 24 quintals;
remaining wheat = 120 - 24 = 96 quintals;
20% of it was sold at 25% less;
So, selling price of 20% wheat =\( 24 \times \frac{75}{100}\) = Rs.18;
Cost price for 96 quintals wheat = Rs.96;
Selling price = 150 - 18 = 132;
Gain = 132 - 96 = 36;
Gain% = \(\frac{36}{96} \times 100 = 37\frac{1}{2}\)
, Avg: 01:05 , 60%✓ SSC CGL 2019184)If A is 28% more than B and C is 25% less than the sum of A and B, then by what percent will C be more than A (correct to one decimal place)?
33.6%
Let the B = 100;
A = 128;
C = 25% less than the sum of A and B;
C =\( (100 + 128) \times \frac{75}{100}\) = 171;
Required percentage =\( \frac{171 - 128}{128} \times 100 = \frac{43}{128} \times 100\) = 33.6%
, Avg: 00:30 , 90%✓ SSC CGL 2020185)The single discount equivalent to two successive discounts of 20% and 15% is :
32%
Single equivalent discount of two successive discounts of 20 and 15% =( \( {20 + 15 -{ 20\times15\over100}}\))% = 32%
, Avg: 00:22 , 100%✓ SSC CGL 2020186)Ravi scores 72% marks in examinations. If these are 360 marks, then the maximum marks are :
500
Let the maximum marks be x.
72% of x = 360
⇒\({x\times72 \over 100}\) = 360
x = 500
, Avg: 01:48 , 88%✓ SSC CGL 2020187)Ram makes a profit of 30% by selling an article. What would be the profit percent if it were calculated on the selling price instead of the cost price? (Correct to one decimal place)
23.1%
Let the cost price of article be Rs. 100.
Selling price of article = 100+ 30 = Rs. 130
Profit = Rs. 30
Profit percent at the selling price = \({30 \times 100 \over 130}\)
= 23.1%