# A man starts repaying, a loan with the first instalment of Rs. 100. If he increases the installment by Rs. 5 every month, what amount he will pay in the 30th instalment?

The first instalment of the loan = Rs. 100

The 2nd instalment of the loan = Rs. 105

The 3rd instalment of the loan = Rs. 110

and so, on

The amount that the man repays every month forms an AP.

Therefore, the series is

100, 105, 110, 115,…

Here, a = 100, d = 105 – 100 = 5

We know that,

an = a + (n – 1)d

a30 = 100 + (30 – 1)5

a30 = 100 + 29 × 5

a30 = 100 +145

a30 = 245

Hence, the amount he will pay in the 30th installment is Rs 245.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Champ Quiz | Arithmetic Progression34 mins
Champ Quiz | Arithmetic Progression30 mins
Lets Check Your Knowledge in A.P.49 mins
NCERT | Fundamental Theorem Of Arithmetic45 mins
Arithmetic progression: Previous Year NTSE Questions34 mins
Quiz on Arithmetic Progression Quiz32 mins
Fundamental Theorem of Arithmetic- 143 mins
Arithmetic Progression Tricks and QUIZ37 mins
Quiz | Group of Questions on General Term of an A.P49 mins
Get to Know About Geometric Progression41 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses