Three partners shared the profit in a business in the ratio of 4 : 9 : 11. They invested the capital for 2 months, 3 months, and 5 months. What was the ratio of their capitals ?
Answer & explanation
Correct answer: option 4
Profit = Investment × time
I : II : III
Time ⇒ 2 : 3 : 5
Profit ⇒ 4 : 9 : 11
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Inv. ⇒ \(\frac{4}{2}\) : \(\frac{9}{3}\) : \(\frac{11}{5}\)
= 2 : 3 : \(\frac{11}{5}\) = 10 : 15 : 11
[*Inv. Ratio = \(\frac{Profit\;ratio}{Time.\;ratio}\)]