Question

Dilip and Pradeep invested amounts in the ratio 2:1, whereas the ratio between amounts invested by Dilip and Sudip was 3:2. If Rs. 1,49,500 was their profit, how much amount did Sudip receive?

Answer 1

Let the amounts invested by Dilip, Pradeep, and Sudip be ₹ ‘d’, ₹ ‘p’, and ₹ ‘s’ respectively.

Given that, d : p = 2 : 1

∴ d : p = 6 : 3 …(i)

and d : s = 3 : 2

∴ d : s = 6 : 4 …(ii)

From (i) and (ii),

d : p : s = 6 : 3 : 4

∴ The ratio of profits to be shared among Dilip, Pradeep and Sudip will be 6 : 3 : 4.

Given, profit earned = ₹ 1,49,500/-

∴ Sudip’s share in the profit =  `4/13 xx 1,49,500`

= 4 × 11,500

= ₹ 46,000/-