Question

18. A, B and C invested capitals in the ratio of 4:6:9. At the end of the business term, they
received the profit in the ratio of 2:3:5. Find the ratio of their time for which they contributed
their capitals?
(a)1:1:9
(b)2:2:9
(c) 10:10:9
(d)9:9:10
(e)none of these
bilo investments of A​

Answer 1

let the capital of A =x

capital of B. = y

capital of c. = z

ratio given = 4:6:9

so,

x:y:z = 4:6:9

second one capital ratio = 2:3:5

Here, P1 : P2 : P3 = 2 : 3 : 5 [profit's ratio]

and x1 : x2 : x3 = 4 : 6 : 9 [investment's ratio]

According to the rule,

Required ratio = P1/x1 : P2/x2 : P3/x3.

= 2/4 : 3/6 : 5/9

= 1/2 : 1/2 : 5/9 = 9 : 9 : 10

• option d = 9:9:10