A, B and C invested Rs 13,000, Rs 17,000 and Rs 5,000 respectively in a business. At the end of the year, they earn a profit of Rs 1,400. B's share of profit is

Options

A. Rs 680
B. Rs 410
C. Rs 630
D. Rs 720

Answer

To find B's share of the profit from the business, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Investments**:
- A's investment = Rs 13,000
- B's investment = Rs 17,000
- C's investment = Rs 5,000

2. **Calculate the Total Investment**:
- Total investment = A's investment + B's investment + C's investment
- Total investment = 13,000 + 17,000 + 5,000 = Rs 35,000

3. **Determine the Ratio of Investments**:
- The ratio of investments can be expressed as A:B:C = 13,000:17,000:5,000.
- To simplify, we can divide each amount by 1,000:
- A:B:C = 13:17:5

4. **Calculate the Total Profit**:
- Total profit earned = Rs 1,400

5. **Set Up the Profit Sharing Based on Investment Ratio**:
- Let the profit shares be represented as:
- A's share = 13x
- B's share = 17x
- C's share = 5x
- Therefore, the total profit can be expressed as:
- Total profit = A's share + B's share + C's share
- 13x + 17x + 5x = 35x

6. **Equate Total Profit to Find x**:
- We know that total profit = Rs 1,400, so:
- 35x = 1,400
- To find x, divide both sides by 35:
- x = 1,400 / 35
- x = 40

7. **Calculate B's Share of the Profit**:
- B's share = 17x
- B's share = 17 * 40 = Rs 680

### Conclusion:
B's share of the profit is Rs 680.

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