Three partners shared the profit in a business in the ratio of 9 : 8 : 11. They invested the capital for 4 months, 6 months, and 18 months. What was the ratio of their capitals?

81 : 48 : 22

Profit = Investment × time

                  I   :    II     :     III

Time    ⇒   4   :     6     :     18

Profit   ⇒   9   :     8     :     11

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Inv.     ⇒    \(\frac{9}{4}\)  :   \(\frac{8}{6}\)    :    \(\frac{11}{18}\)

           = \(\frac{81\;:\;48\;:\;22}{36}\) = 81 : 48 : 22