A, B and C invested their capitals in the ratio of 5 : 6 : 8. At the end of the business, they received the profits in the ratio of 5 : 3 : 1. Find the ratio of time for which they contributed their capitals. `

Q: A, B and C invested their capitals in the ratio of 5 : 6 : 8. At the end of the business, they received the profits in the ratio of 5 : 3 : 1. Find the ratio of time for which they contributed their capitals. `

Here, p1 : p2 : p3 = 5 : 3 : 1 and x1 : x2 : x3 = 5 : 6 : 8 According to the formula, Required ratio = p1/x1 : p2/x2 : p3/x3 = 5/5 : 3/6 : 1/8 = 1 : 1/2 : 1/8 = 8 : 8/2 : 8/8 = 8 : 4 : 1

12 : 9 : 7
25 : 18 : 8
5 : 6 : 8
8 : 4 : 1

Correct Answer: 8 : 4 : 1

Explanation:

Here, p₁ : p₂ : p₃ = 5 : 3 : 1 and x₁ : x₂ : x₃ = 5 : 6 : 8
According to the formula,
Required ratio = p₁/x₁ : p₂/x₂ : p₃/x₃
= 5/5 : 3/6 : 1/8
= 1 : 1/2 : 1/8 = 8 : 8/2 : 8/8 = 8 : 4 : 1

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