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.
Answer & explanation
Correct answer: option 4
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