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Kavita, Rakesh, and Shalini invested in a business in the ratio 5:8:15. They invested their capitals for 8 months, 7 months and 4 months, respectively
Question

Kavita, Rakesh, and Shalini invested in a business in the ratio 5:8:15. They invested their capitals for 8 months, 7 months and 4 months, respectively. What was the ratio of their profits?

A.

10:14:15

B.

13:14:15

C.

11:14:15

D.

12:14:15

Correct option is A

Given:
Ratio of capitals = 5 : 8 : 15
Ratio of time periods = 8 : 7 : 4

Formula Used:
Ratio of Profits = (C1×T1):(C2×T2):(C3×T3) (C_1 × T_1) : (C_2 × T_2) : (C_3 × T_3)​​

Solution:
Multiply the respective capitals and time periods to find the profit ratio:
Profit Ratio = (5 × 8) : (8 × 7) : (15 × 4)
Profit Ratio = 40 : 56 : 60 = 10 : 14 : 15

Final Answer
So the correct answer is (a)

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