A,  B, and C enter into a partnership, investing Rs. 6000. A invests Rs. 1000 and B and C invest in the ratio of 2:3. Find the profit of C if the annual profit is Rs. 2400.

1200

A's investment = 1000

Remaining (B + C) = 6000 - 1000 = 5000

Ratio of investment of B and C = 2 : 3 ⇒ 5R (total)

5R = 5000 ⇒ 1R = 1000,

Therefore, Investment of B and C is = Rs.2000 and Rs.3000

Investment Ratio:⇒  A : B : C = 1 :  2 :  3

*When time is same then investment ratio becomes profit ratio*

Therefore,

Profit Ratio:⇒  A : B : C = 1 :  2 :  3   ⇒ 6R (total)

ATQ, 6R = 2400 ⇒ 1R = 400

Hence, C's profit = 3 × 400 = Rs. 1200