Question

A , B and C invested money in the ratio 2:3:5 and the total time of their investments is 2:3:1. What is the ratio of their profits

Answer 1

Answer:

1.2.3......

..................right

Answer 2

A , B and C invested money in the ratio 2:3:5 and the total time of their investments is 2:3:1.

Given,

The ratio of money invested by A, B and C = 2 : 3 : 5

The total time of investments of A, B and C = 2 : 3 : 1

We use the formula,

t1 : t2 : t3 = ( p1 : p2 : p3 ) / ( x1 : x2 : x3 )

where, x1, x2 and x3 are the money invested by A, B and C.

t1, t2 and t3 are the total time of their investments.

p1, p2 and p3 are the profits received by A, B and C.

2 : 3 : 1 = ( p1 : p2 : p3 ) / ( 2 : 3 : 5 )

( p1 : p2 : p3 ) = ( 2 : 3 : 1 ) × ( 2 : 3 : 5 )

∴ ( p1 : p2 : p3 ) = ( 4 : 9 : 5 )

Therefore, the ratio of profits of A, B and C are 4 : 9 : 5