Question

A, B and C invested capitals in the ratio 2:3:4.At the end of the business term,they received the profits in the ratio 3:6:10, find the ratio of the periods for which they contributed their capitals

Answer 1

Answer:

_______________________________

let the capital of A = x

capital of B = y

and capital of C = z

_______________________________

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

_______________________________

= P1 / x : P2 / y : P3 / z

_______________________________

= 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

_______________________________

Your Answer : (d) 25 : 10 : 24

_______________________________