Three partners shared the profit in a business in the ratio 8 : 7 : 5. They invested their capitals for 7 months, 8 months and 14 months, respectively. What was the ratio of their capitals ?

64 : 49 : 20

Profit = Investment × Time period

ATQ  ,

Let Income of Three partners are = X , Y , Z respectively .

So ,

                     A     :      B      :    C

Income         X      :       Y     :     Z

Time             7      :      8      :     14

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Profit            8      :       7      :      5

So  ,

Ratio of    X    :     Y    :     Z

            \(\frac{8}{7}\)     :  \(\frac{7}{8}\)     :     \(\frac{5}{14}\)

             64    :     49  :    20