How much principal amount should be invested now for 25 percentage annual return to get 200k profit till 1 October 2026, even middle of the time 1march 2026 withdrawal 90000 rupees from principal 

To calculate the principal amount needed, let's break down the problem step by step using the given conditions.

### Given:
- **Annual return**: 25% (0.25)
- **Final profit**: ₹200,000 (including after withdrawal)
- **Initial investment period**: From now till **October 1, 2026**
- **Withdrawal**: ₹90,000 on **March 1, 2026**
- **Investment type**: Compound interest assumed annually.

To achieve a profit of ₹200,000, we need to calculate the principal required accounting for both the withdrawal and final profit goal.

### Steps:

1. **Let the initial principal be \( P \).**
2. **From now until March 1, 2026,** the investment will grow for a certain period. We’ll assume the investment compounds annually.
3. **On March 1, 2026**, ₹90,000 is withdrawn, reducing the principal.
4. **From March 1, 2026 to October 1, 2026**, the remaining principal will continue to grow.
5. The total profit at the end (October 1, 2026) needs to be ₹200,000.

Let me calculate this for you.The initial principal amount required to be invested now, considering a 25% annual return, to achieve a profit of ₹200,000 by October 1, 2026, after withdrawing ₹90,000 on March 1, 2026, is approximately **₹249,639**.

Would you like more details or have any questions about the calculations?

Here are five related questions to consider:
1. How does the calculation change with monthly compounding instead of annual?
2. What if the annual return rate were different, such as 20% or 30%?
3. How would the withdrawal date or amount affect the initial investment?
4. What happens to the total profit if no withdrawal is made during the investment period?
5. Can a similar formula be used for other investment plans like fixed deposits or mutual funds?

**Tip**: To maximize investment returns, it's important to regularly review and adjust your financial plan based on interest rates and market conditions.

How much principal amount should be invested now for 25 percentage annual return to get 200k profit till 1 October 2026, even middle of the time 1 March 2026 withdrawal 90000 rupees from principal?

Learn how to calculate the principal amount needed for a 25% annual return to achieve a profit of ₹200,000 by October 1, 2026, accounting for a ₹90,000 withdrawal on March 1, 2026. This problem covers compound interest and profit calculation in financial mathematics.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation