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A, B and C together start a business , B invests 1/6 of the total capital while investments of A and C are equal. If the annual profit of this investment is Rs.33600, find the difference between the profits of B and C.

A) Rs.8400
B) Rs.7200
C) Rs. 6000
D) Rs.9600

Correct Answer:

A) Rs.8400

Description for Correct answer:

Investment of B = 1 / 6 of total capital

Investments of A and C each

= \( \Large \frac{1}{2}\left(1 - \frac{1}{6}\right)\) of total capital

= \( \large\frac{1}{2} \times \frac{5}{6} \ of \ total \ capital \)

= \( \Large\frac{5}{12} \) of total capital

Now, A's share : B's share : C's share

= \( \Large\frac{5}{12} : \frac{1}{6} : \frac{5}{12} \) = 5 : 2 : 5

Let A's share = 5x
B's share = 2x
C's share = 5x

According to the question,

5x + 2x + 5x = 33600

12x = 33600

X = 33600 / 12 = 2800

Difference in profit of B and C,

= 5x - 2x = 3x = 3 X 2800 = Rs.8400

Part of solved Partnership questions and answers : >> Aptitude >> Partnership

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