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Three partners invested in a business in the ratio 1:9:8. They invested their capitals for11 months, 6 months and 2 months, respectively. What was the
Question

Three partners invested in a business in the ratio 1:9:8. They invested their capitals for11 months, 6 months and 2 months, respectively. What was the ratio of their profits?

A.

12 : 54 : 16

B.

8:54:16

C.

11 : 54 : 16

D.

9 : 54 : 16

Correct option is C

​Given:

Investment ratios = 1 : 9 : 8

Time periods = 11 months, 6 months, 2 months

Concept Used:

Profit is distributed in the ratio of the product of capital invested and the time for which it is invested.

Formula Used:

Profit Ratio = Investment × Time

Solution:

Profit ratio = (1 × 11): (9 × 6) : (8 × 2)

= 11 : 54 : 16

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