Rakesh started a business by investing Rs. 70000. 8 months later Vinod also joined him with Rs. 180000. Total profit, in what ratio should be divided between them?

Options

A. (8:7)
B. (6:5)
C. (7:5)
D. None of these

Answer

To solve the problem of dividing the total profit between Rakesh and Vinod based on their investments and the time for which they invested, we will follow these steps:

### Step 1: Calculate Rakesh's Investment Contribution
Rakesh invested Rs. 70,000 for 12 months.

\[ \text{Rakesh's Contribution} = \text{Investment} \times \text{Time} = 70000 \times 12 = 840000 \]

### Step 2: Calculate Vinod's Investment Contribution
Vinod joined 8 months later, so he invested Rs. 180,000 for 4 months.

\[ \text{Vinod's Contribution} = \text{Investment} \times \text{Time} = 180000 \times 4 = 720000 \]

### Step 3: Find the Ratio of Their Contributions
Now, we will find the ratio of Rakesh's contribution to Vinod's contribution.

\[ \text{Ratio} = \frac{\text{Rakesh's Contribution}}{\text{Vinod's Contribution}} = \frac{840000}{720000} \]

To simplify this ratio, we can divide both numbers by 120000.

\[ \text{Ratio} = \frac{840000 \div 120000}{720000 \div 120000} = \frac{7}{6} \]

### Step 4: Conclusion
The total profit should be divided between Rakesh and Vinod in the ratio of 7:6.

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