Ravi, Anand and Pranay are running a business firm in partnership. What is Anand's share in the profit earned by them? a. Ravi, Anand and Pranay invested the amounts in the ratio of 2 : 4 : 7. b. Pranay's share in the profit is Rs. 8750.

Options

A. A) Only a is sufficient
B. B) Neither a nor b is sufficient
C. C) Only b is sufficient
D. D) Both a and b sufficient

Answer

To find Anand's share in the profit earned by Ravi, Anand, and Pranay, we can follow these steps:

### Step 1: Understand the Investment Ratios
The investments of Ravi, Anand, and Pranay are in the ratio of 2:4:7. This means:
- Ravi's investment = 2 parts
- Anand's investment = 4 parts
- Pranay's investment = 7 parts

### Step 2: Calculate the Total Parts
To find the total parts of investment, we sum the parts:
Total parts = 2 + 4 + 7 = 13 parts

### Step 3: Determine Pranay's Share of Profit
We know that Pranay's share in the profit is Rs. 8750. Since Pranay's investment corresponds to 7 parts, we can set up the following proportion to find the total profit (P):
- Pranay's share = (Pranay's parts / Total parts) * Total profit
- 8750 = (7 / 13) * P

### Step 4: Solve for Total Profit (P)
To find the total profit (P), we rearrange the equation:
P = 8750 * (13 / 7)

Calculating this gives:
P = 8750 * (13 / 7) = 8750 * 1.8571 ≈ 16250

### Step 5: Calculate Anand's Share of Profit
Now that we have the total profit, we can find Anand's share. Anand's investment corresponds to 4 parts:
- Anand's share = (Anand's parts / Total parts) * Total profit
- Anand's share = (4 / 13) * 16250

Calculating this gives:
Anand's share = (4 / 13) * 16250 = 5000

### Conclusion
Anand's share in the profit is Rs. 5000.

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