Question

A number is increased by 50% and then decreased by 50%.Find the number.

Answer 1

Let N be the given number.
Increasing it by 50% makes it = N + (50/100)N = 1.5N

Now decreasing 1.5N by 50% makes it = 1.5N  - (50/100)(1.5N) = 1.5N - 0.75N = 0.75N

Answer 2

Given number X
Increased by 50%  : new X =  150% of X = 150/100 * x = 1.5 X

Decreased by 50 % means becomes half or 50% :  50% of 1.5 X
               = 50/100 * 1.5 X = 0.75 X

It is 75% of the original number