Question

A, B and C invested capitals in the ratio 3:5:9; the timing of their investments being in the ratio 2 : 3 : 1. In what ratio would their profits be distributed?

• A. 2 : 5 : 3
• B. 3 : 2 : 5
• C. 7 : 5 : 3
• D. Insufficient data
• E. None of the above

Answer 1

The correct option is A 2 : 5 : 3

Ratio of capitals of A, B and C is 3:5:9. Let the capitals of A, B and C be 3x, 5x and 9x, respectively.
Ratio of timing of their investments are 2:3:1. Let, A, B and C invest their capitals for 2y, 3y and y months, respectively.
Then, profit of A : profit of B : profit of C
$=C_1\times t_1:C_2\times t_2:C_3\times t_3$
$=3x\times 2y:5x\times 3y:9x\times y$
$=6:15:9or2:5:3$