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

Correct Answer: 9 : 9: 10

A,B,C invested capitals in the ration = 4x : 6y = 2 : 3 ⇒4x6y = 23⇒x = 2×6y4×3⇒x = y.'. x : y : z  =  x : x : 109x = 9 :9 : 10 
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