Three partners shared the profit of a business in the ratio 9 : 8 : 11. They kept their capital in the business for 4 months, 6 months and 18 months respectively. What was the ratio of their capitals, in the same order?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 81 : 48 : 22
Profit \(\propto\) capital \(\times\) time, so capital \(\propto\) profit \(\div\) time.
Capitals \(\displaystyle =\frac{9}{4}:\frac{8}{6}:\frac{11}{18}\)
Multiplying each by 36 (the LCM of 4, 6 and 18): \(9\times9:8\times6:11\times2\)
\(=81:48:22\)
The capitals were in the ratio 81 : 48 : 22.