SSC CGL 20201)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%
SSC CGL 20202)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
SSC CGL 20203)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%
SSC CGL 20204)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%
SSC CGL 20205)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
SSC CGL 20206)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
SSC CGL 20207)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
SSC CGL 20208)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%
SSC CGL 20209)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%
SSC CGL 202010)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 = \({31\times800\over100}+16 =264\)