Question

If 20% of a number exceeds 16% of the same number by 16 then what is the number

Answer 1

Let the number be X
20% of X is 20X/100=0.2X
16% of X is 16X/100=0.16X
Given  20% of a number exceeds 16% of the same number by 16
 0.2X=0.16x +16
0.2X-0.16X=16
2X/10-16X/100=16
(20X-16x)/100=16
4X=1600x
=400

SO THE GIVEN NUMBER IS 400

Answer 2

Solution -

Let the required number be x

Then, according to the question.

(x × 20)/100 = (x × 16)/100 + 16

(20x/100) = (16x/100) + 16

20x/100 - 16x/100 = 16

4x/100 = 16

4x = 100 × 16

4x = 1600

x = 1600/4

x = 400

So, the required number is 400.

Answer.