Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is :

Options

A. A) 8400
B. B) 8200
C. C) 8100
D. C) 8100

Answer

To find Deepak's share of the profit, we first need to determine the ratio of the investments made by Anand and Deepak.

### Step-by-Step Solution:

1. **Identify the investments:**
- Anand's investment = Rs. 22,500
- Deepak's investment = Rs. 35,000

2. **Calculate the total investment:**
\[ \text{Total Investment} = \text{Anand's Investment} + \text{Deepak's Investment} = 22,500 + 35,000 = 57,500 \]

3. **Determine the ratio of their investments:**
\[ \text{Ratio of Anand's Investment to Deepak's Investment} = \frac{22,500}{35,000} \]
To simplify this ratio, we can divide both numbers by 2,500:
\[ = \frac{9}{14} \]

4. **Calculate the total profit:**
- Total profit = Rs. 13,800

5. **Determine Deepak's share of the profit:**
Since the profit is distributed in the ratio of their investments, we can find Deepak's share using the ratio:
- Total parts in the ratio = 9 + 14 = 23 parts
- Deepak's share = \(\frac{14}{23} \times 13,800\)

Now, calculating Deepak's share:
\[ = \frac{14 \times 13,800}{23} = \frac{193,200}{23} \approx 8,400 \]

### Final Answer:
Deepak's share of the profit is Rs. 8,400.

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