# Basic Math MCQ3 (Percentage of a number added to other number, what the number is ?)

MCQ3:60% of a number is added to 120, the result is the same number. Find the number?

a) 300                 b) 200                c) 400                b) 500

Solution:

Let the number is ‘x’

60% of ‘x’ ​$$=\frac{60}{100}\times x$$

If this is added to 120 then by given condition the result is same number ‘x’

Mathematically,

$\frac{60}{100}\times x+120=x$

$\frac{60}{100}\times x=x-120$

$60x= 100(x-120)$

$60x=100x-12000$

$40x=12000$

$x= 300$

So the number is 300 , hence option a is correct

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