Question

The ratio of the amounts with Mr Umar and Mr Gumar is ` 3 : 4`. If Mr Gumar gives Rs. 5 to Mr Umar, then the ratio of the amounts with Uma and Gumar is `4 : 3`. Mr Umar gives Rs. 5 to Mr Gumar. Find the ratio of the amounts with them.
A. ` 3 : 5`
B. ` 2 : 5`
C. ` 4 : 5`
D. ` 1 : 5`

Answer 1

Correct Answer - B
Let the amounts with Mr Umar and Mr Gumar be Rs. 3x and 4x respectively.
Givne, ` (3x+5)/(4x-5) = 4/3`
` rArr 9x + 15 = 16x - 20`
` rArr x = 5`.
` :.` The amounts with Mr Umar and Mr Gumar are Rs. 15 and Rs. 20 respectively.
The required ratio = `(15-5)/(20+5) = 10/25 = 2/5`.
Ratio of the amount with them is ` 2 : 5`.