Q33 of 176 Page 8

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.


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