pranav borrow a sum of rs 335180 at the rate of 13% per annum simple interest. At the end of the 1st year he repays 23060 towards return of principal amount borrowed. If pranav clear all pending due at the end of the 2nd year , including interest payment the accrued during the 1st year how much does he pays in Rs at the end of the 2nd year

Let's solve this problem step by step.

### 1. First, calculate the interest accrued during the 1st year.
The interest is calculated on the initial principal amount of Rs 335,180 at a rate of 13% per annum.

\[
\text{Interest for 1st year} = \frac{P \times R \times T}{100}
\]

Where:
- \( P = 335,180 \) (Principal amount),
- \( R = 13\%\) (Rate of interest),
- \( T = 1 \) year.

\[
\text{Interest for 1st year} = \frac{335,180 \times 13 \times 1}{100} = 43,573.4
\]

So, Rs 43,573.4 is the interest accrued during the 1st year.

### 2. Pranav repays Rs 23,060 towards the principal at the end of the 1st year.
The remaining principal after this repayment is:

\[
\text{Remaining principal} = 335,180 - 23,060 = 312,120
\]

### 3. Calculate the interest for the 2nd year on the reduced principal.
For the 2nd year, the interest is calculated on Rs 312,120 at the same rate of 13% per annum.

\[
\text{Interest for 2nd year} = \frac{312,120 \times 13 \times 1}{100} = 40,575.6
\]

### 4. Calculate the total amount to be paid at the end of the 2nd year.
At the end of the 2nd year, Pranav needs to pay:
- The remaining principal (Rs 312,120),
- The interest for the 1st year (Rs 43,573.4),
- The interest for the 2nd year (Rs 40,575.6).

\[
\text{Total payment} = 312,120 + 43,573.4 + 40,575.6 = 396,269
\]

Thus, Pranav needs to pay **Rs 396,269** at the end of the 2nd year to clear all his dues.

Would you like further details or have any questions?

### Relative Questions:
1. How would the repayment change if the interest rate was higher, say 15%?
2. What would be the total interest paid if Pranav repaid the full amount in the first year?
3. How is compound interest different from simple interest in such scenarios?
4. What if Pranav decided to repay more than Rs 23,060 after the first year? How would that affect the remaining balance?
5. How would Pranav’s repayment schedule change if the loan period was extended to 3 years?

**Tip:** In simple interest calculations, interest is always calculated on the original principal unless a part of the principal is repaid, as in this case.

Pranav borrows a sum of Rs 335,180 at the rate of 13% per annum simple interest. At the end of the 1st year, he repays Rs 23,060 towards the principal amount borrowed. If Pranav clears all pending dues at the end of the 2nd year, including interest accrued during the 1st year, how much does he pay in Rs at the end of the 2nd year?

Explore how to calculate the total repayment for a loan of Rs 335,180 at 13% per annum simple interest, with Rs 23,060 repaid after the first year. Learn step-by-step how to calculate the interest for both years and the remaining principal, ideal for students in Grades 10-12.

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