Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?

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Question: Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?

[A].

5 : 7 : 8

[B].

20 : 49 : 64

[C].

38 : 28 : 21

[D].

None of these

Answer: Option B

Explanation:

Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively.

Then, 14x : 8y : 7z = 5 : 7 : 8.

Now, 14x = 5       98x = 40y       y = 49 x
8y 7 20
And, 14x = 5       112x = 35z       z = 112 x = 16 x.
7z 8 35 5
x : y : z = x : 49 x : 16 x = 20 : 49 : 64.
20 5