https://file.aiquickdraw.com/mathbot/file/1727055887439aa4klq6b.jpg

The image contains Hindi text, and it appears to be a series of mathematical problems related to profit, investment, and partnership. Let me transcribe and interpret the first few questions to provide you with a solution.

The first question seems to ask something like:

1. **Question:**
   "अनिल ने 6 माह के लिए ₹ 6000 लगाये और विनय ने 8 माह के लिए ₹ 5000 लगाये। यदि लाभ ₹ 8000 हुआ, तो A का हिस्सा कितना था?"

**Translation:**
   Anil invested ₹6000 for 6 months, and Vinay invested ₹5000 for 8 months. If the total profit is ₹8000, what was Anil's share?

This is a problem of partnership in which we need to divide the profit in the ratio of the product of the investments and the time period.

Let’s solve this:

### Solution:

Anil's investment = ₹6000 for 6 months  
Vinay's investment = ₹5000 for 8 months

The profit-sharing ratio is determined by the investment amount multiplied by the time period:

\[
\text{Anil's Ratio} = 6000 \times 6 = 36000
\]
\[
\text{Vinay's Ratio} = 5000 \times 8 = 40000
\]

Now, the total ratio is:
\[
36000 + 40000 = 76000
\]

Anil's share of the total profit is:

\[
\text{Anil's Share} = \frac{36000}{76000} \times 8000 = 3789.47 \, (\text{approximately } 3790)
\]

Thus, Anil's share of the profit is around **₹3790**.

Would you like me to solve more questions from the image or provide further details on this solution? 

Here are five questions you could explore next:
1. What is Vinay's share of the profit?
2. How does the duration of investment affect profit sharing in partnerships?
3. How can the total profit be calculated when more than two partners are involved?
4. What would happen if both investors invested for the same period of time?
5. How does increasing or decreasing the investment amount impact the share of profit?

**Tip:** Always check if investments are proportional to the time periods to simplify your calculations.

अनिल ने 6 माह के लिए ₹6000 लगाये और विनय ने 8 माह के लिए ₹5000 लगाये। यदि लाभ ₹8000 हुआ, तो A का हिस्सा कितना था?

Solve a partnership profit-sharing problem where Anil invests ₹6000 for 6 months and Vinay invests ₹5000 for 8 months. Learn how the total profit of ₹8000 is divided based on their investments and time.

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