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?

Solution:

The first installment of the load is ₹ 100.

The second instalment of the load is ₹ 105 and so on.

The amount that the man repays every month becomes an A.P.

The A.P is 100, 105, 110,...

Here, a = 100, d = 5

A₃₀ = a + (30 - 1) d

= 100 + 29(5)

= 100 + 145

= 245

Thus, the amount to be paid in the 30th instalment is ₹ 245

NCERT Solutions Class 11 Maths Chapter 9 Exercise 9.2 Question 17

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

Summary:

The first instalment of the loan was Rs. 100, the instalment was increased by 5 Rs every month, hence he had to repay 245 Rs. in the 30th instalment