Question

If \(4\) (A's capital) = \(6\) (B's capital) = \(10\) (C's capital), then out of profit of Rs.4,650 C will receive:

• A. Rs. 465
• B. Rs. 900
• C. Rs. 1,550
• D. Rs. 2,250

Hint:

When comparing capital investments, simplify the ratio to easily determine the profit share for each partner.

Answer 1

The Correct Option is D

Step 1: Establish the ratio of investments.
Using the relations given: \[ \frac{A}{4} = \frac{B}{6} = \frac{C}{10} \quad \text{(Setting equal to \( k \))} \] \[ A = 4k, \quad B = 6k, \quad C = 10k \]

Step 2: Compute the profit shares.
Total capital ratio: \[ A : B : C = 4 : 6 : 10 \] \[ C's share = \frac{10}{20} \times 4650 = 2325 \text{ rupees} \]