SSC CGL 20191)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%
SSC CGL 20192)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% = \(\frac{36}{96} \times 100 = 37\frac{1}{2}\)
SSC CGL 20193)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%
SSC CGL 20194)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
SSC CGL 20195)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%
SSC CGL 20196)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
SSC CGL 20197)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 =\( \frac{33 - 27}{27} \times 100 = \frac{6}{27} \times 100 = 22 \frac{2}{9}\)
SSC CGL 20198)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.
SSC CGL 20199)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%
SSC CGL 201910)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%