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
20 : 49 : 64
38 : 28 : 21
None of these
[A].
[B].
[C].
[D].
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 |