https://file.aiquickdraw.com/mathbot/file/1727027893333dretnzmn.jpg

The text in the image appears to be in Kannada. Let me transcribe and analyze the question.

**Question (translated)**:
It says something along the lines of:

- "Two persons A and B invest money in a business. The amount invested by A is ₹5000 more than B's. After one year, the total profit is ₹13500. What is B's share in the profit?"

The question asks to find B's share of the profit, given the information about the amounts they invested.

Let me solve this step by step.

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### Step-by-step solution:

Let B's investment be \( x \).

- A’s investment is \( x + 5000 \).
- The total profit after a year is ₹13,500.

The profit is typically divided in proportion to their investments.

The ratio of A's to B's investments is:
\[
\frac{x + 5000}{x}
\]

Now, to find B's share in the profit:

Let the total profit be divided into two parts for A and B. The share of B in the total profit is:
\[
\frac{x}{x + (x + 5000)} \times 13500
= \frac{x}{2x + 5000} \times 13500
\]

This gives us the share of B in the profit. Let's simplify and compute that.

I'll calculate this in the next step.The simplified expression for B's share in the profit is:

\[
\frac{6750x}{x + 2500}
\]

Now, to find the exact amount, we would need the value of \( x \) (

Two persons A and B invest money in a business. A invests ₹5000 more than B. The total profit at the end of a year is ₹13,500. What is B's share in the profit?

Solve a business investment problem where two people, A and B, invest with A investing ₹5000 more than B. Find B's share of a total profit of ₹13,500, using ratios and algebraic methods. Suitable for students in Grades 8-10.

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