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A, B and C invested their capitals in the ratio of 5 : 6 : 8. At the end of the business they received profits in the ratio of 5 : 3 : 1. Find the ratio of time for which they contributed their capitals.

A) 12 : 9 : 7
B) 25 : 18 : 8
C) 5 : 6 : 8
D) 8 : 4 : 1

Correct Answer:




D) 8 : 4 : 1

Description for Correct answer:

Here \( \Large p_1 : p_2 : p_3 = 5 : 3 : 1\) and \(x_1 : x_2 : x_3 = 5 : 6 : 8\)

According to the formula,

Required ratio

= \( \Large \frac{p_1}{x_1} : \frac{p_2}{x_2} : \frac{p_3}{x_3}\)

= \( \Large \frac{5}{5} : \frac{3}{6} : \frac{1}{8} \)

=\( \Large 1 : \frac{1}{2} :\frac{1}{8} = 8 : \frac{8}{2} :\frac{8}{8} = 8 : 4 : 1 \)

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

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