Question

A, B, and C in a partnership invested ₹52,000, ₹56,000, and ₹70,000, respectively. At the end of the year, B received ₹12,250 less than C as his share in the profit. What is the total profit?

• A. ₹ 1,52,750
• B. ₹ 1,55,500
• C. ₹ 1,55,750
• D. ₹ 1,62,000

Hint:

When calculating the share of profit in a partnership, use the ratio of investments and apply it to the total profit, considering the difference in shares.

Answer 1

The Correct Option is C

Let the total profit be \( P \). The profit is distributed in proportion to the amounts invested by A, B, and C. The investment ratio is: \[ A : B : C = 52,000 : 56,000 : 70,000 \] Simplifying the ratio: \[ A : B : C = 52 : 56 : 70 \] We can divide by 2 to make the ratio simpler: \[ A : B : C = 26 : 28 : 35 \] Let the total profit be \( P \). The share of profit for each is proportional to their investment, so the difference between B's and C's shares in the profit is: \[ \frac{28}{89}P - \frac{35}{89}P = 12,250 \] This simplifies to: \[ \frac{7}{89}P = 12,250 \] Solving for \( P \): \[ P = \frac{12,250 \times 89}{7} = 1,55,750 \] Thus, the total profit is ₹1,55,750.