5% of a number is 25% more than another number. The difference between the numbers is 96. Then find the value of the numbers?

A 102 & 6

B 99 & 3

C 104 & 8

D 100 & 4

Correct Answer: Option D

Let the first number be x and the second number be y.

Given

5% of x = (25% of y) + y

=> 5x/100 = 5y/4

=> x = 25y ......(1)

and also given that, x - y = 96

=> x = 96 + y .....(2)

From (1)&(2)

25y = 96 + y

=> 24y = 96

=> y = 4

From (1)

x = 96 + 4 = 100

Hence, the numbers are 100 & 4.