Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

### Question 2

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

### 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?

### Question 5

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

### More Chapters | See All...

Essential Part | Areas | Distance and Time | Data Sufficiency | Cubes and Dice | Statements and Assumptions | Alligations and Mixtures | Paper Cutting | Pipes and Cisterns | Course of Action | More...

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.