Question

Rs 4830 is divided among Goutham, Sarosh and Vignesh such that if Goutham's share diminishes by Rs 5, Sarosh's share diminishes by Rs 10 and Vignesh's share diminishes by Rs 15, their shares will be in the ratio 5:4:3. Find Sarosh's original share?

• A. 1510
• B. 1600
• C. 1610
• D. 2000
• E. 1200

Answer 1

The correct option is C

1610

Let x, y and z be the shares of Goutham, Sarosh and Vignesh respectively.

So x+y+z=4830

$\frac{x-5}{y-10}=\frac{5}{4}$

$\frac{y-10}{z-15}=\frac{4}{3}$ Solving the three equations, we will get y=1610, x=2005, z=1215