Sanjay and Komal started a business with Rs. 15000 each. After 8 months Komal withdrew Rs. 10000. If at the end of a year there was a profit of Rs. 32000. What was the share of Sanjay in the profit?

Options

A. RS 18000
B. Rs 18500
C. Rs 16500
D. Rs 16000

Answer

To solve the problem step by step, we need to calculate the investment of both Sanjay and Komal, and then determine their respective shares in the profit based on their investments.

### Step 1: Calculate Sanjay's Investment
Sanjay invested Rs. 15,000 for the entire year (12 months).
- Investment = Rs. 15,000 * 12 months = Rs. 180,000

### Step 2: Calculate Komal's Investment
Komal also invested Rs. 15,000 initially, but after 8 months, she withdrew Rs. 10,000.
- For the first 8 months, her investment is Rs. 15,000.
- For the remaining 4 months, her investment is Rs. 5,000 (after withdrawing Rs. 10,000).

Now, we calculate the total investment for Komal:
- Investment for the first 8 months = Rs. 15,000 * 8 months = Rs. 120,000
- Investment for the last 4 months = Rs. 5,000 * 4 months = Rs. 20,000
- Total Investment = Rs. 120,000 + Rs. 20,000 = Rs. 140,000

### Step 3: Find the Ratio of Investments
Now we will find the ratio of Sanjay's investment to Komal's investment.
- Sanjay's investment = Rs. 180,000
- Komal's investment = Rs. 140,000

The ratio of their investments is:
- Ratio = 180,000 : 140,000 = 18 : 14 = 9 : 7 (after simplifying)

### Step 4: Calculate the Total Profit
The total profit at the end of the year is Rs. 32,000.

### Step 5: Calculate Sanjay's Share of the Profit
To find Sanjay's share in the profit, we use the ratio of their investments:
- Total parts in the ratio = 9 + 7 = 16 parts
- Sanjay's share = (9/16) * Total Profit
- Sanjay's share = (9/16) * 32,000 = 18,000

### Final Answer
Sanjay's share in the profit is Rs. 18,000.

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