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### Question 1

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

### Question 2

In a sample there are 1260 items having a value of 50°C. 30% values are below 50°C, and the number of values above 50°C is $2/3$ of the items having a value of 50°C. What is the size of the sample?

### Question 3

In a sample there are 750 items having a value of 50°C. 50% values are below 50°C, and the number of values above 50°C is $2/3$ of the items having a value of 50°C. What is the size of the sample?

### Question 4

In a sample there are 1620 items having a value of 50°C. 10% values are below 50°C, and the number of values above 50°C is $2/3$ of the items having a value of 50°C. What is the size of the sample?

### Question 5

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: $37{1/2}$%.

### More Chapters | See All...

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This Blog Post/Article "Percentages Quiz Set 007" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-04-07.