Munna and Chinna are partners in a firm out of which Munna is sleeping partner and Chinna is working partner. Munna invests Rs. 1,40,000 and Chinna invests Rs. 80,000. Chinna receives 14.5% of profit for managing the business and the rest is shared between both in ratio of their investments. Munna's share in the profit of Rs. 19600 is ?

Options

A. A) Rs. 9580.25
B. B) Rs. 10600
C. C) Rs. 10664.15
D. D) Rs. 11060.48

Answer

To find Munna's share in the profit of Rs. 19,600, we will follow these steps:

### Step 1: Calculate Chinna's share for managing the business
Chinna receives 14.5% of the total profit for managing the business.

\[ \text{Chinna's share} = 14.5\% \text{ of } 19,600 = \frac{14.5}{100} \times 19,600 \]

Calculating this gives:

\[ \text{Chinna's share} = \frac{14.5 \times 19,600}{100} = 2842 \text{ Rs.} \]

### Step 2: Calculate the remaining profit after Chinna's share
Now, we need to find the remaining profit after Chinna's share has been deducted from the total profit.

\[ \text{Remaining profit} = \text{Total profit} - \text{Chinna's share} = 19,600 - 2842 \]

Calculating this gives:

\[ \text{Remaining profit} = 16,758 \text{ Rs.} \]

### Step 3: Determine the ratio of investments
Next, we need to find the ratio of Munna's and Chinna's investments.

- Munna's investment = Rs. 1,40,000
- Chinna's investment = Rs. 80,000

The ratio of their investments is:

\[ \text{Ratio} = \frac{\text{Munna's investment}}{\text{Chinna's investment}} = \frac{140000}{80000} = \frac{7}{4} \]

### Step 4: Calculate Munna's share from the remaining profit
Now, we will divide the remaining profit (Rs. 16,758) according to the ratio of their investments (7:4).

The total parts in the ratio = 7 + 4 = 11.

Munna's share from the remaining profit is:

\[ \text{Munna's share} = \frac{7}{11} \times 16,758 \]

Calculating this gives:

\[ \text{Munna's share} = \frac{7 \times 16,758}{11} = 10,664.15 \text{ Rs.} \]

### Final Answer
Thus, Munna's total share in the profit of Rs. 19,600 is approximately Rs. 10,664.15.

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