Question

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

Answer 1

First instalment = Rs 100

Instalment increases by Rs 5

Second Instalment = Rs 105

So, every month instalment Increases by 5

Man repays 100, 105, 110, ………… every month

This forms an A.P.

A.P. is 100, 105, 110, 105, …….

First term of A.P. = 100

Common difference = 5

nth term of A.P. = tn = a + (n – 1)d

30th term = t30 = 100 + (30 – 1) × 5

= 100 + 29 × 5 = 100 + 145

t30 = 245

Man will pay Rs 245 in 30th instalment.

JAI SHREE KRISHNA