A, B and C are partners in a business. A whose money has been used for 2 months, claims \(\frac{1}{8}\) of the profit, B whose money has been used for 3 months, claims \(\frac{1}{4}\) of the profit. C had invested Rs. 2630 for 5 months. How much money did A contribute?

Rs. 1315

For \(\frac{1}{8}\) and \(\frac{1}{4}\)

Let Total profit = 8 unit

Hence,

Profit of A = 8 × \(\frac{1}{8}\) = 1

Profit of B = 8 × \(\frac{1}{4}\) = 2

Profit of C = 8 - (1 + 2) = 5

Now,

              A    :    B    :    C

Profit :   1    :    2    :     5

Time  :   2    :    3    :     5  

Inv.   :   \(\frac{1}{2}\)    :    \(\frac{2}{3}\)    :     1        [Inv. ratio = \(\frac{Profit.\;Ratio}{Time\;Ratio}\)]

         :   3    :    4    :    6

ATQ,

C invest = 6R = 2630

1R = \(\frac{2630}{6}\)

A's investment = \(\frac{2630}{6}\) × 3 = Rs.1315