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 ?

10 : 15 : 11

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  = \(\frac{Profit\;ratio}{Time.\;ratio}\)]