 What is the market price of a 9% share when a person gets 180 by investing Rs. 4000?

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To find the market price of a 9% share when a person receives ₹180 by investing ₹4000, we can use the following method:

1. **Calculate the nominal value of the shares**:  
   Since a 9% share gives ₹180, the total annual income from the shares is 9% of the nominal value. Let's denote the nominal value by \( N \).  
   \[
   9\% \text{ of } N = 180
   \]
   \[
   \frac{9}{100} \times N = 180
   \]
   \[
   N = \frac{180 \times 100}{9} = 2000
   \]

2. **Find the market price**:  
   The market price (M) can be found using the formula:
   \[
   \text{Market Price} = \left(\frac{\text{Investment}}{\text{Nominal Value}} \times 100\right)
   \]
   Substituting the values:
   \[
   M = \left(\frac{4000}{2000} \times 100\right) = 200
   \]

So, the market price of the 9% share is **₹200**.

Would you like more details or have any other questions? Here are some related questions:

1. How do you calculate the nominal value of a share?
2. What is the difference between market price and face value of a share?
3. How does dividend percentage relate to share price?
4. How does market price of a share fluctuate?
5. What factors influence the market price of a share?

**Tip:** Always check if the given dividend is annual or semi-annual to avoid confusion in calculations.

Learn how to calculate the market price of a 9% share based on an investment yielding ₹180 with an initial investment of ₹4000. This problem involves understanding finance concepts, including interest calculations and market price determination. Suitable for high school students studying finance and investments.

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