Rs x is divided among A, B and C. The share of A is two-fifth of the total money, the share of B is two-third of the remaining money, and the share of C is Rs 600. Find the value of x

Options

A. 3000
B. 4000
C. 5000
D. 6000

Answer

a

Explanation

Total money = Rs x
The share of `A = Rs (2)/(5) x`
The share of `B = (2)/(3) (Rs x - Rs (2x)/(5)) = Rs (2x)/(5)`
The share of C = Rs 600
`:. (2x)/(5) + (2x)/(5) + 600 = x`
`rArr x - (4x)/(5) = 600 rArr (x)/(5) = 600`
`rArr x = 600 (5)`
`rArr x = 3000`
Hence, the correct option is (a)