Ram, Shyam and Kamal together start a business in partnership .The ratio of their capitals is `3:4: 7`. If their annual profit be ? 21000, what will be Kamal's share in this profit ?

Options

A. ? 12500
B. ? 10500
C. ? 15000
D. ? 10000

Answer

To find Kamal's share in the profit from the partnership, we can follow these steps:

### Step 1: Identify the ratio of their capitals
The ratio of the capitals of Ram, Shyam, and Kamal is given as \(3:4:7\).

### Step 2: Calculate the total parts in the ratio
To find the total parts of the ratio, we add the parts together:
\[ 3 + 4 + 7 = 14 \]

### Step 3: Determine Kamal's share in the ratio
Kamal's part in the ratio is \(7\).

### Step 4: Calculate Kamal's share of the profit
The total annual profit is given as \(21,000\). To find Kamal's share, we can use the formula:
\[ \text{Kamal's share} = \left(\frac{\text{Kamal's part}}{\text{Total parts}}\right) \times \text{Total profit} \]
Substituting the values we have:
\[ \text{Kamal's share} = \left(\frac{7}{14}\right) \times 21,000 \]

### Step 5: Simplify the calculation
Calculating the fraction:
\[ \frac{7}{14} = \frac{1}{2} \]
Now substituting this back into the equation:
\[ \text{Kamal's share} = \frac{1}{2} \times 21,000 = 10,500 \]

### Conclusion
Kamal's share in the profit is \(10,500\).

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