Rakesh, Dinesh and Mahes start a business by investing X 5000, X 8000 and X 12000, respectively.At the end of year, they got the profit of X 12500. What is the share of Dinesh in profit ?

Options

A. X 4000
B. X 4500
C. X 6000
D. X 7500

Answer

To find Dinesh's share of the profit, we will follow these steps:

### Step 1: Determine the investments of each partner
- Rakesh's investment = ₹5000
- Dinesh's investment = ₹8000
- Mahesh's investment = ₹12000

### Step 2: Calculate the total investment
Total investment = Rakesh's investment + Dinesh's investment + Mahesh's investment
Total investment = ₹5000 + ₹8000 + ₹12000 = ₹25000

### Step 3: Calculate the profit-sharing ratio
The profit-sharing ratio is based on their investments:
- Rakesh's share = ₹5000
- Dinesh's share = ₹8000
- Mahesh's share = ₹12000

Thus, the profit-sharing ratio is:
- Rakesh : Dinesh : Mahesh = 5000 : 8000 : 12000

To simplify this ratio, we can divide each term by 1000:
- Rakesh : Dinesh : Mahesh = 5 : 8 : 12

### Step 4: Calculate the total parts in the ratio
Total parts = 5 + 8 + 12 = 25

### Step 5: Calculate Dinesh's share of the profit
Total profit = ₹12500
Dinesh's share = (Dinesh's ratio part / Total parts) × Total profit
Dinesh's share = (8 / 25) × 12500

### Step 6: Perform the calculation
Dinesh's share = (8 × 12500) / 25
Dinesh's share = 100000 / 25
Dinesh's share = ₹4000

### Conclusion
Dinesh's share in the profit is ₹4000.

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