A, B and C invested capitals in the ratio 7: 3: 2. At the end of the business term, they received the rofits in the ratio 2:3:7. Find the ratio of time for which they contributed their capitals.
Answers
Given : A, B and C invested capitals in the ratio 7: 3: 2. At the end of the business term, they received the rofits in the ratio 2:3:7.
To Find : ratio of time for which they contributed their capitals.
Solution:
Let say Time for which they invested Capital
is A , B & C
7A : 3B : 2 C = 2 : 3 : 7
=> 14 A : 6B : 4 C = 2 : 3 : 7 ( multiplying LHS ratios by 7)
=> 14A : 6B : 4 C = 14 : 21 : 49 ( multiplying RHS ratios by 2 )
14A = 14 => A = 1
6B = 21 => B = 21/6 = 7/2
4C = 49 => C = 49/4
=> A : B : C = 1 : 7/2 : 49 /4
Multiplying by 4
=> A : B : C = 4 : 14 : 49
ratio of time for which they contributed their capitals. = 4 : 14 : 49
Another method 7 : 3 : 2
& 2 : 3 : 7
So invested period ratio 2/7 : 3/3 : 7/2
= 2/7 : 1 : 7/2
= 4 : 14 : 49 ( multiplying by 14)
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