6) A man invested Rs. 1500 in a stock at 95 to obtain an income of Rs. 130. What is the dividend from the stock?



To find the dividend from the stock, we can use the following relationship between income, investment, and the dividend:

\[
\text{Dividend Percentage} = \left( \frac{\text{Income}}{\text{Investment}} \right) \times 100
\]

Where:
- Income = Rs. 130
- Investment = Rs. 1500
- Stock price = Rs. 95

Now, the dividend percentage is calculated on the face value (stock price), not the investment. So first, we need to find how many shares the man bought:

\[
\text{Number of shares} = \frac{\text{Investment}}{\text{Stock Price}} = \frac{1500}{95}
\]

Let's calculate the number of shares and then find the dividend per share.

The man bought approximately 15.79 shares of the stock.

Now, the dividend per share can be calculated as follows:

\[
\text{Dividend per share} = \frac{\text{Income}}{\text{Number of shares}} = \frac{130}{15.79}
\]

Let's compute the dividend per share.The dividend per share is approximately Rs. 8.23.

### Summary:
- The man purchased around 15.79 shares.
- The dividend from each share is approximately Rs. 8.23.

Would you like more details on the steps, or do you have any further questions?

Here are some related questions for you to explore:
1. How does the dividend percentage relate to stock price and investment?
2. What would the income be if the man had invested Rs. 2000 instead of Rs. 1500?
3. How would the dividend change if the stock price increased to Rs. 100?
4. What would happen to the number of shares if the stock split 2-for-1?
5. How can you calculate the total return on investment if you also know the stock's price appreciation?

**Tip**: Dividends are typically calculated on the face value of shares, so understanding the relationship between investment and stock price is crucial.

A man invested Rs. 1500 in a stock at 95 to obtain an income of Rs. 130. What is the dividend from the stock?

Learn how to calculate the dividend from an investment of Rs. 1500 in stock priced at 95, resulting in an income of Rs. 130. The solution explains the dividend calculation step by step, covering key concepts like the number of shares, income, and dividend per share. Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation