https://file.aiquickdraw.com/mathbot/file/17266506493384syz92a4.jpg

The problem in the image is:

"A man buys Rs. 100 shares of a certain company, which pays a dividend of 15%, at Rs. 115. If he invested a sum of Rs. 23,000 in the company, what profit does he get at the end of the year?"

### Solution:

1. **Determine the number of shares purchased:**
   The man invested Rs. 23,000, and each share costs Rs. 115.

   \[
   \text{Number of shares} = \frac{23000}{115} = 200 \, \text{shares}
   \]

2. **Calculate the dividend per share:**
   The dividend is 15% of the face value of each share, where the face value is Rs. 100.

   \[
   \text{Dividend per share} = 15\% \text{ of } 100 = \frac{15}{100} \times 100 = 15 \, \text{Rs. per share}
   \]

3. **Calculate the total dividend (profit):**
   The total profit at the end of the year is the dividend per share multiplied by the number of shares:

   \[
   \text{Total profit} = 200 \times 15 = 3000 \, \text{Rs.}
   \]

Thus, the profit the man gets at the end of the year is **Rs. 3000**.

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Would you like further details or clarifications on any step? Here are some related questions you might find useful:

1. How is the dividend calculated when the market value of the share changes?
2. What is the relationship between face value and market value of a share?
3. How does the dividend yield compare with other types of returns on investments?
4. Can the dividend percentage change, and what would happen if it does?
5. What happens if the market price of the share increases after the investment?

**Tip:** Always check whether the dividend percentage is applied to the face value or the market value of a share to avoid calculation errors.

A man buys Rs. 100 shares of a certain company, which pays a dividend of 15%, at Rs. 115. If he invested a sum of Rs. 23,000 in the company, what profit does he get at the end of the year?

This problem explains how to calculate the profit on Rs. 100 shares with a 15% dividend when the shares are purchased at Rs. 115. The solution includes calculating the number of shares, the dividend per share, and the total profit at the end of the year. Suitable for Grades 9-10.

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