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Ratio and Proportion - Quant/Math - CAT 2013

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Question 4 the day: November 11, 2003

The question for the day is from the topic of Ratio and Proportion.
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 amongst 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?

(1) 4888.88 (2) 9333.33
(3) 4000 (4) 3666.66
Correct Answer - (1)
Solution:


Let x be the profit.

Their investment ratio = 3600: 4400: 2800 = 9 : 11 : 7

A's profit of Rs. 8000 = (1/4 * x) + 1/3(3/4*x) = 1/2 * x

x = Rs. 16,000

Therefore B's profit = 11/27(3/4 * 16000) = Rs. 4888.88




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