U, V and W invest sum in the ratio of 15 : 20 : 27 respectively. If they earned total profit of ₹ 10230 at the end of year, then what is the share of V?

Options

A. ₹2870
B. ₹3300
C. ₹3150
D. ₹3500

Answer

To find the share of V in the total profit earned, we will follow these steps:

### Step 1: Determine the investment ratio
The investment ratio of U, V, and W is given as:
- U : V : W = 15 : 20 : 27

### Step 2: Calculate the total parts in the ratio
To find the total parts, we add the parts of the ratio together:
- Total parts = 15 + 20 + 27 = 62

### Step 3: Calculate V's share of the profit
V's share in the profit can be calculated using the formula:
- V's share = (V's ratio / Total parts) × Total profit

Substituting the values:
- V's ratio = 20
- Total profit = ₹ 10,230

So,
- V's share = (20 / 62) × 10,230

### Step 4: Perform the calculation
Now, we calculate V's share:
1. First, calculate 20 / 62:
- 20 / 62 = 0.3226 (approximately)

2. Now multiply this by the total profit:
- V's share = 0.3226 × 10,230 ≈ ₹ 3,300

### Final Answer
Therefore, V's share of the profit is approximately ₹ 3,300.

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