A, B and C start a business. A contributes\(\frac{1}{5}\)th of the total capital, B contributes as much as A and C together contribute. If the total profit at the end of the year was Rs.5200, then find the profit share of C.

Rs. 1560

Let the total investment = 5R

Then,

A's investment = 5R × \(\frac{1}{5}\) = 1R

Remaining investment = 4R

ATQ,

Inv. of (A + C) = B,

Therefore,

             A   :     B    :    C

Inv.   :   1   :   2.5   :   1.5

Inv.   :   2   :    5     :   3

Profit:    2   :    5    :   3    =  10R

So, 10R = 5200 (given)

1R = 520

C's Profit = 3R = 3 × 520 = 1560