Question

A, B and C invested capitals in the ratio of 2 : 3 : 5. At the end of the business terms, they received the profit in the ratio of 5 : 3 : 12. Find the ratio of time for which they contributed their capitals.
(a) 10 : 24 : 25
(b) 25 : 24 : 10
(c) 18 : 24 : 25
(d) 25 : 10 : 24
(e) None of these

Answer 1

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let the capital of A = x

capital of B = y

and capital of C = z
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Given ratio of their capitals = 2 : 3 : 5

x : y : z = 2 : 3 : 5

let the P1 ,P2 ,P3 are the profits they received

at the end of the business terms.

Given, ratio of their profits = 5 : 3 : 12

P1 : P2 : P3 = 5 : 3 : 12

According to the formula ,

Required ratio will be
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= P1 / x : P2 / y : P3 / z
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= 5 / 2 : 3 / 3 : 12 / 5

= 5 / 2 : 1 : 12 / 5

= 5 × 5 : 2 × 5 : 2 × 12

= 25 : 10 : 24

therefore,

ratio of time for which they contributed

= 25 : 10 : 24
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Your Answer : (d) 25 : 10 : 24
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