A invest \(\frac{2}{5}\)th of the capital for \(\frac{2}{5}\)th of the time, B invest \(\frac{1}{5}\)th of the capital for \(\frac{1}{5}\)th of the time and C invest rest of the capital for whole the time. Find profit sharing ratio.

4 : 1 : 10

Let the capital = 5R and the time ratio = 5

                 A     :     B      :       C

Capital :     2     :     1      :       2

Time    :     2     :     1     :       5

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Profit   :     4      :   1      :      10                      (Profit ratio = capital × time)