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### Question 1

One number is 120 more than the other, and it is 65% of the sum of them. What is the number?

### Question 2

A number is first increased by 40%, and thereafter it is reduced by 40% again. What is the overall reduction?

**A**

16 %.

**B**

18 %.

**C**

14 %.

**D**

20 %.

**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 $x^2/100$ = 16%

### Question 3

A shopkeeper sells 75% items of his stock and still has 200 items left with him. How many items did he have at the beginning?

### Question 4

The service tax is 5%. A person receives a telephone bill amounting to Rs. 525. How much was the bill excluding tax?

### Question 5

The sum of two numbers is 1712. One of them is 114% of the other. The smaller number is?

### More Chapters | See All...

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This Blog Post/Article "Percentages Quiz Set 003" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.