Percentages Quiz Set 014

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Question 1

Mr. X who spends 69% of his salary is able to save Rs. 527. What is his salary?

 A

Rs. 1700.

 B

Rs. 1800.

 C

Rs. 1600.

 D

Rs. 1900.

Soln.
Ans: a

Let the salary be x. His saving% is 100 - 69 = 31, so 31% of x = 527, which gives x = $527/31$ × 100 = Rs. 1700.


Question 2

Two numbers are, respectively, 5% and 25% less than a third number. What percent is the second of the first?

 A

$78{18/19}$ %.

 B

$84{7/18}$ %.

 C

$70{11/21}$ %.

 D

$74{1/7}$ %.

Soln.
Ans: a

If the third number is 100, first number is (100 - 5) = 95, and the second number is (100 - 25) = 75. The required ratio is $75/95$ × 100 = ${1500/19}$, which is same as: $78{18/19}$%.


Question 3

A number is first increased by 60%. By what percent must it be reduced so as to restore it to its previous value?

 A

$37{1/2}$ %.

 B

$38{1/2}$ %.

 C

$36{1/2}$ %.

 D

$20{1/4}$ %.

Soln.
Ans: a

Let us derive the shortcut formula first, so that you can remember it and use it when the need arises. Suppose the number is 100, and let the increase be x%. The number becomes 100 + x. Let us suppose that it has to be reduced by p% to restore it to 100. Then, (100 + x) - p × $(100 + x)/100$ = 100. We can cancel away 100, and easily simplify it to p = ${100 × x}/{100 + x}$ = ${100 × 60}/{100 + 60}$ = ${75/2}$, which is same as: $37{1/2}$%.


Question 4

A bag contains 1380 red, 1740 green and 2880 blue marbles. What percentage of the total is the most visible color in the bag?

 A

48 %.

 B

58 %.

 C

38 %.

 D

68 %.

Soln.
Ans: a

By inspection, blue is the most visible color. The percentage of blue is $2880/{1380 + 1740 + 2880}$ × 100 = 48%.


Question 5

The sum of two numbers is 792. One of them is 164% of the other. The smaller number is?

 A

300.

 B

310.

 C

290.

 D

320.

Soln.
Ans: a

Let the numbers be x and ${164x}/100$. The sum is x + ${164x}/100$ which is same as ${264x}/100 = 792$. Solving we get the smaller number x = 300.


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This Blog Post/Article "Percentages Quiz Set 014" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-06-24.

Posted by Parveen(Hoven),
Aptitude Trainer


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