What was the ratio of their investments?

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?

Answer 1

Answer is 20:49:64

Comments

What is the working i.e. Logic?

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Their profit ratio is 5 : 7: 8 for 14 months, 8 months, 7 months.

so ther profit ratio for one month is (5/14), (7/8), (8/7)
for converting these terms into a complete number we can multiply 56 into their ratio.

so profit ratio is  (5/14 x 56), (7/8 x 56), (8/7 x 56)

so answer is 20, 49, 64