Reena and Shaloo are partners in a business, Reena invests Rs, 35,000 for 8 months and Shaloo invests Rs. 42,000 for 10 months, out of a profit of Rs. 31,570, Reena's share is :

Options

A. A) 12628
B. B) 18245
C. C) 11235
D. D) 10253

Answer

To solve the problem step by step, we need to calculate the share of profit for Reena based on her investment and the duration for which she invested.

### Step 1: Calculate the investment amount in terms of "months"
- Reena's investment: Rs. 35,000 for 8 months
- Shaloo's investment: Rs. 42,000 for 10 months

We will calculate the "capital months" for both partners:
- Reena's capital months = Investment × Time = 35,000 × 8 = 280,000
- Shaloo's capital months = Investment × Time = 42,000 × 10 = 420,000

### Step 2: Find the ratio of their investments
Now, we can find the ratio of their capital months:
- Ratio of Reena's capital to Shaloo's capital = 280,000 : 420,000

To simplify the ratio, we can divide both sides by 140,000:
- Simplified ratio = 2 : 3

### Step 3: Calculate the total parts of the profit
The total parts of the profit are the sum of the parts in the ratio:
- Total parts = 2 + 3 = 5

### Step 4: Calculate Reena's share of the profit
Now, we will calculate Reena's share of the total profit of Rs. 31,570:
- Reena's share = (Reena's part / Total parts) × Total profit
- Reena's share = (2 / 5) × 31,570

Calculating this:
- Reena's share = (2 × 31,570) / 5
- Reena's share = 63,140 / 5
- Reena's share = 12,628

### Final Answer
Reena's share of the profit is Rs. 12,628.

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