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# A Man Starts Repaying a Loan as First Installment of Rs. 100. If He Increases the Installment by Rs 5 Every Month, What Amount He Will Pay in the 30th Installment? - CBSE (Arts) Class 11 - Mathematics

ConceptArithmetic Progression (A.P.)

#### Question

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

#### Solution

The first installment of the loan is Rs 100.

The second installment of the loan is Rs 105 and so on.

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

The A.P. is 100, 105, 110, …

First term, a = 100

Common difference, d = 5

A30 = a + (30 – 1)d

= 100 + (29) (5)

= 100 + 145

= 245

Thus, the amount to be paid in the 30th installment is Rs 245.

Is there an error in this question or solution?

#### APPEARS IN

NCERT Solution for Mathematics Textbook for Class 11 (2018 to Current)
Chapter 9: Sequences and Series
Q: 17 | Page no. 186
Solution A Man Starts Repaying a Loan as First Installment of Rs. 100. If He Increases the Installment by Rs 5 Every Month, What Amount He Will Pay in the 30th Installment? Concept: Arithmetic Progression (A.P.).
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