- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- MS Excel
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP
- Physics
- Chemistry
- Biology
- Mathematics
- English
- Economics
- Psychology
- Social Studies
- Fashion Studies
- Legal Studies

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Jaspal Singh repays his total loan of Rs 118000 by paying every month starting with the first instalment of Rs 1000 . If he increases the instalment by Rs 100 every month, what amount will be paid by him in the $ 30^{\text {a }} $ instalment? What amount of loan does he still have to pay after the $ 30^{\text {th }} $ instalment?

Given:

Jaspal Singh repays his total loan of Rs 118000 by paying every month starting with the first instalment of Rs 1000.

He increases the instalment by Rs 100 every month.

To do:

We have to find the amount paid by him in the \( 30^{\text {a }} \) instalment and the amount of loan he still has to pay after the \( 30^{\text {th }} \) instalment.

Solution:

Total loan amount $=Rs.\ 118000$

First installment $= Rs.\ 1000$

Second installment $=Rs.\ 1000 + 100$

$= Rs.\ 1100$

Third installment $= Rs.\ 1100 + 100$

$= Rs.\ 1200$ and so on

This is in AP.

Here

First term $a =1000$

Common difference $d=100$

We know that,

$a_{n}=a+(n-1) d$

This implies,

$a_{30}=1000+(30-1)(100)$

$=1000+29(100)$

$=1000+2900$

$a_{30}=3900$

Therefore, the amount paid by Jaspal Singh in 30th instalment is $Rs.\ 3900$

Loan amount paid in 30 instalments $=S_{30}$

The sum of the first \( n \) terms of an AP is given by $S_{n}=\frac{n}{2}[2 a+(n-1) d]$

$S_{30}=\frac{30}{2}[2(1000)+(30-1)(100)]$

$=15[2000+2900]$

$=15(4900)$

$=73500$

Total amount paid till 30 installments $S_{30}=Rs.\ 73500$

Amount of loan to be paid after 30 installments $=$ Total loan $-$ Loan amount paid till 30 installments

$=Rs.\ 118000-73500$

$=Rs.\ 44500$

**Therefore, the amount of loan to be paid by Jaspal Singh after 30 installments is $Rs.\ 44500$.**

- Related Articles
- A man arranges to pay off a debt of Rs. 3600 by 40 annual instalments which form an arithmetic series. When 30 of the instalments are paid, he dies leaving one-third of the debt unpaid, find the value of the first instalment.
- A man arranges to pay off a debt of Rs. $3600$ in $40$ annual instalments which form an arithmetic series. When $30$ of the instalments are paid he dies leaving one-third of the debt unpaid. Find the value of the first instalment.
- A man saved Rs. 32 during the first year, Rs. 36 in the second year and in this way he increases his savings by Rs. 4 every year. Find in what time his saving will be Rs. 200.
- The fees of a student increases from Rs.1000 per month to Rs. 1200 per month. Find the percentage increase.
- A man is employed to count Rs. 10710. He counts at the rate of Rs. 180 per minute for half an hour. After this he counts at the rate of Rs. 3 less every minute than the preceding minute. Find the time taken by him to count the entire amount.
- Mr Bhaskar saves Rs 8756 every month. How much money will he save in 13 years?
- Write C program to calculate balance instalment
- Mitesh, Mihir, Siddharth and Prashant paid a bill of restaurant unequally. The ratio of amount paid by Mitesh to Mihir is 7:8. Siddharth paid half the amount Mihir paid and Prashant paid half the amount Siddharth paid. If the bill amount is Rs. 2100, find the amount paid by each.
- If a person borrow Rs 10,000 for 3 years at an interest rate of 10% compounded annually. Then what will be Compound Interest and the amount to be paid by him?
- Twelve books can be bought for \( Rs.\ 600 \). If the price of each book increases such that there is a total increase of \( Rs.\ 30 \), how many books can be bought for the same amount?
- Yasmeen saves Rs 32 during the first month, Rs 36 in the second month and Rs 40 in the third month. If she continues to save in this manner, in how many months will she save Rs 2000?
- Mr. Sharma is paid an hourly rate. One week he earned Rs.15750 by working 30 hours. If he works 35 hours next week, how much will he earn?
- In a particular month, a shopkeeper incurs a loss of Rs. 15, by losing 30 paise per pencil. Calculate the number of pencil sold in this month.
- The price of a TV is Rs 13,000. The sales tax charged on it is at the rate of 12% . Find the amount that Vinod will have to pay if he buys it.
- Vijay had some bananas, and he divided them into two lots A and B. He sold first lot at the rate of Rs. 2 for 3 bananas and the second lot at the rate of Rs. 1 per banana and got a total of Rs. 400. If he had sold the first lot at the rate of Rs. 1 per banana and the second lot at the rate of Rs. 4 per five bananas, his total collection would have been Rs. 460. Find the total number of bananas he had.