A, B and are partners in a business. A, whose capital has been used for 5 months, claims $\frac{1}{7}$ of the profit. B whose capital has been used for 7 months, claims $\frac{1}{5}$ of the profit. C has invested ₹4,600 for 9 months. How much capital did A contribute?
Answer & explanation
Correct answer: option 1
Let the total profit be 35R
Profit of A = \(\frac{1}{7}\) × 35R = 5R
Profit of B = \(\frac{1}{5}\) × 35R = 7R
Profit of C = 35R – 5R – 7R = 23R
Let the capital of A = x & capital of B = y
As we know,
Capital × Time = Profit
5x : 7y ∶ 4600 × 9 = 5 : 7 : 23
According to the question,
\(\frac{5x}{4600 × 9}\) = \(\frac{5}{23}\)
x = 9 × 200 = 1800
So, A contributes Rs. 1800