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### Question 1

The sum of two numbers is 1560. One of them is 160% of the other. The smaller number is?

### Question 2

A number is first increased by 100%, and thereafter it is reduced by 100% again. What is the overall reduction?

**A**

100 %.

**B**

102 %.

**C**

98 %.

**D**

104 %.

**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 $x^2/100$ = 100%

### Question 3

The number of online customers increased from 1075 to 2575. What is the percentage increase?

### Question 4

The age of Mr. X is 20% 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**

$16{2/3}$ %.

**B**

$26{1/2}$ %.

**C**

$15{2/3}$ %.

**D**

$11{4/5}$ %.

**Soln.**

**Ans: a**

Age of Mr. X is 20 + ${20 × 20}/100$ = 24 years. Mr. Y's age is less than Mr. X's age by ${20 × 20}/100$ = 4 years. In terms of percentage, it is $4/24$ × 100 = ${50/3}$, which is same as: $16{2/3}$.

### Question 5

A bag contains 280 red, 380 green and 1340 blue marbles. What percentage of the total is the most visible color in the bag?

This Blog Post/Article "Percentages Quiz Set 002" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2018-01-02.