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### Question 1

One number is 300 more than the other, and it is 75% of the sum of them. What is the number?

### Question 2

A number is first increased by 20%, and thereafter it is reduced by 20% again. What is the overall reduction?

**A**

4 %.

**B**

6 %.

**C**

10 %.

**D**

8 %.

**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. When it is reduced by x%, we get 100 + x - $((100 + x) × x)/100$ = 100 + x - $(x + x^2/100)$ = 100 - $x^2/100$, hence a reduction of $x^2/100$ = 4%

### Question 3

A clerk multiplied a number by 2/1 instead of 1/2. What is the percentage of error?

### Question 4

The age of Mr. X is 80% more than Mr. Y's age which is 20 years at present. By what percent is Y's age less than Mr. X's age?

**A**

$44{4/9}$ %.

**B**

$51{1/8}$ %.

**C**

$35{6/11}$ %.

**D**

$38{9/11}$ %.

**Soln.**

**Ans: a**

Age of Mr. X is 20 + ${80 × 20}/100$ = 36 years. Mr. Y's age is less than Mr. X's age by ${80 × 20}/100$ = 16 years. In terms of percentage, it is $16/36$ × 100 = ${400/9}$, which is same as: $44{4/9}$.

### Question 5

One number is 160 more than the other, and it is 70% of the sum of them. What is the number?

This Blog Post/Article "Percentages Quiz Set 005" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-04-07.