Question

A, B and C invested some money for an year. If their profit is divided in the ratio 4 : 11 : 7 and half the difference of shares of A and C is Rs. 2100, then find the total profit they made?
1. Rs. 30,200
2. Rs. 30,800
3. Rs. 37,500
4. Rs. 31,800

Answer 1

Correct Answer - Option 2 : Rs. 30,800

Given:

Ratio of profit = 4 : 11 : 7

Difference of share of A and C = 2 × Rs. 2100

= Rs. 4200

Calculation:

Let, the share of A, B and C = 4a, 11a and 7a.

∵ Share of C - A = 4200

∴ 7a - 4a = 4200

⇒ 3a = 4200

⇒ a = 4200/3

⇒ a = Rs. 1400

∴ Total Profit of A, B and C = 4a + 11a + 7a

= 22a

= 22 × 1400

= Rs. 30,800