cant understand the method for solving this ques

Asked by Navya on 2026-06-13 in CAT Prep

A, B and C enter into a partnership by investing Rs.3600, Rs.4400 and Rs.2800. A is a working partner and gets a fourth of the profit for his services and the remaining profit is divided among the three in the rate of their investments. What is the amount of profit that B gets if A gets a total of Rs. 8000?

4888.88
9333.33
4000
3666.66
Concept: Ratio and Partnership

2 Answers

Abhimaneu · 2026-06-13 · 2 helpful

The ratio is 9:11:7
Ans - 4888.88

nav · 2026-06-16 · 1 helpful

Method:
Let total profit = P
A:B:C = 9:11:7
A = 8000 = P/4 + {3P/4 * 9/(9+11+7)} [1/4th profit + dividend by rate]
8000 = P/4 + P/4 = P/2
P = 16000
B = 11/(9+11+7) * (3/4)16000 [3/4 because only remaining profit is shared]
B = 44000/9 = 4888.88

hope the method is now understandable :)

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