Ms. Kannan purchased 113.151 units of 'FT India Prima Plus' on 9th April 2007 and redeemed all the units on 7th Aug 2007 when the NAV was Rs. 35.5573. The entry load was 2.25% and the exit load was 1%. If she gained Rs. 483.11, find the NAV on 9th April 2007 (Calculations are upto 2 decimal points)

To find the NAV (Net Asset Value) on 9th April 2007, we need to break down the problem and use the given information systematically.

### Step 1: Understanding the Investment
- **Units Purchased:** 113.151 units
- **Entry Load:** 2.25%
- **Exit Load:** 1%
- **Redemption Date:** 7th Aug 2007
- **Redemption NAV:** Rs. 35.5573
- **Profit:** Rs. 483.11

### Step 2: Calculate the Selling Price
The redemption value after applying the exit load of 1% is calculated as follows:
\[
\text{Redemption Value} = \text{NAV on 7th Aug 2007} \times \text{Units} \times (1 - \text{Exit Load})
\]
\[
\text{Redemption Value} = 35.5573 \times 113.151 \times (1 - 0.01)
\]
\[
\text{Redemption Value} = 35.5573 \times 113.151 \times 0.99
\]
\[
\text{Redemption Value} \approx 35.2017 \times 113.151 \approx 3983.85 \text{ Rs}
\]

### Step 3: Calculate the Initial Investment
Let the NAV on 9th April 2007 be \( x \). The initial value of the investment after applying the entry load of 2.25% is calculated as:
\[
\text{Initial Value} = x \times 113.151 \times (1 + \text{Entry Load})
\]
\[
\text{Initial Value} = x \times 113.151 \times 1.0225
\]
\[
\text{Initial Value} = 115.6923975x \text{ Rs}
\]

### Step 4: Use the Profit Information
The profit earned is the difference between the redemption value and the initial investment:
\[
\text{Profit} = \text{Redemption Value} - \text{Initial Value}
\]
\[
483.11 = 3983.85 - 115.6923975x
\]
\[
115.6923975x = 3983.85 - 483.11 = 3500.74
\]
\[
x \approx \frac{3500.74}{115.6923975} \approx 30.26 \text{ Rs}
\]

### Conclusion:
The NAV on 9th April 2007 was approximately **Rs. 30.26**.

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

1. How do entry and exit loads affect mutual fund returns?
2. What are the different types of loads in mutual funds?
3. How can investors minimize the impact of loads on their investments?
4. What is the significance of NAV in mutual fund investments?
5. How is NAV calculated in mutual funds?

**Tip:** Always consider the impact of loads when calculating the returns on mutual fund investments.

Learn how to calculate the NAV (Net Asset Value) and profit in mutual fund investments using a detailed step-by-step solution. This problem involves understanding mutual fund entry and exit loads, redemption values, and profit calculations. Suitable for advanced learners and investors.

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