Question

# 279 are 90% of what amount?

- 130
- 310
- 200
- 280

Hint:

### When a certain quantity is divided into 100 equal parts and a certain part of it is to be expressed in terms of the whole quantity, that portion is called as a percent, represented with a % sign.

Eg.- If we have 1,000 as the number of students in class 12th in a certain college with 700 inhouse students and 300 new entrants and we want to represent the number of inhouse students and new entrants as a percentage of the total population, we divide 1,000 in 100 equal parts i.e. 1,000/100, we get 1% = 10. Hence, inhouse students and new entrants are 70% (10*70 i.e. 700) and 30% (10*30 i.e. 300), respectively.

## The correct answer is: 310

### To find- 90% of what number is 279.

Solution-

Let the number be x.

We know that 90% can be written as 90/100.

∴ 90% of x = 279

∴ 90/100 * x = 279

∴ x = 279 * 100/ 90

∴ x = 310

Final Answer- Option 'b' i.e. '310' is the correct answer to the given question.

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