The 1st installment of the loan = Rs. 100
the 2nd installment of the loan = Rs 100 + 5 = Rs 105
The 3rd installment of the loan = Rs 105 + 5 = Rs 110
Therefore, the AP is 100, 105, 110, …
Here, a = 100, d = 105 – 100 = 5 and n = 30
We know that,
⇒ S30 = 15 [200 + 29 × 5]
⇒ S30 = 15 [200+145]
⇒ S30 = 15 [345]
⇒ S30 = 5175
Hence, the amount he will pay in 30th installments is Rs. 5175