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### Question 1

If 82 is m% of p, and B is p% of m, then what is B?

### Question 2

A number is first increased by 60%, and thereafter it is reduced by 60% again. What is the overall reduction?

**A**

36 %.

**B**

38 %.

**C**

34 %.

**D**

40 %.

**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 $x^2/100$ = 36%

### Question 3

If 20% of X is Y, then Y% of 20 is?

### Question 4

A carton contains 3000 led bulbs, some of them are red, some green and others are blue. How many are green if 9% are red and 5% are blue?

### Question 5

A number is first increased by 80%. By what percent must it be reduced so as to restore it to its previous value?

**A**

$44{4/9}$ %.

**B**

$51{1/8}$ %.

**C**

$35{6/11}$ %.

**D**

$38{9/11}$ %.

**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 = ${100 × x}/{100 + x}$ = ${100 × 80}/{100 + 80}$ = ${400/9}$, which is same as: $44{4/9}$%.

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This Blog Post/Article "Percentages Quiz Set 001" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2018-06-17.