1.

AB and C invested their capital in ratio 2:3-4, at end of the business they received the profitin the ratio 5:6:7. Find the ratio of time period for which they contributed their capitals.

Answer»

Answer:

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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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