For 1000 amount loan interest rate is 40 per month. Find out interest rate per month for 10000 rupees 

To find the interest rate per month for a loan of ₹10,000, we can assume that the interest rate scales proportionally with the loan amount. Here's the step-by-step calculation:

### Step 1: Understand the given data
- **Loan amount (A1):** ₹1,000
- **Interest rate (R1):** ₹40 per month
- **New loan amount (A2):** ₹10,000

### Step 2: Set up the proportion
The interest rate should be proportional to the loan amount:

\[
\frac{R1}{A1} = \frac{R2}{A2}
\]

Where:
- \( R1 = ₹40 \)
- \( A1 = ₹1,000 \)
- \( A2 = ₹10,000 \)
- \( R2 \) is the interest rate for ₹10,000, which we need to find.

### Step 3: Calculate \( R2 \)

\[
R2 = \frac{R1 \times A2}{A1}
\]

Substitute the values:

\[
R2 = \frac{₹40 \times ₹10,000}{₹1,000} = ₹400 \text{ per month}
\]

### Conclusion
The interest rate per month for a ₹10,000 loan is ₹400.

Would you like more details or have any questions?

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Here are some related questions you might consider:
1. What would be the total interest paid over 12 months for the ₹10,000 loan?
2. How can you calculate the annual interest rate from the monthly rate?
3. What is the total amount to be repaid after 6 months for the ₹10,000 loan?
4. How does the interest rate affect the monthly payment in an amortized loan?
5. What would be the monthly interest for a loan of ₹15,000?
6. How do you calculate the compound interest for a different interest rate?
7. What is the effective annual interest rate if the monthly interest is compounded?
8. How does inflation impact the real interest rate on a loan?

**Tip:** Always ensure you know whether the interest rate is simple or compounded, as this will affect your calculations.

Learn how to calculate the interest rate per month for a ₹10,000 loan based on a given ₹1,000 loan with an interest rate of ₹40 per month. Understand the proportional relationship and apply the proportion formula step-by-step. Suitable for grades 9-12 students and those interested in financial mathematics.

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