Question

22. A man repays a loan of Rs. 3250 by paying Rs. 20 in the first month and then increases
the payment by Rs. 15 every month. How long will it take to clear the loan
O A. 25 years
O B. 20 years
O C. 15years
O D. 30years

Answer 1

SO THE CORRECT ANSWER IS OPTION B

Suppose the loan is cleared in n months. Clearly, the amounts form an A.P. with first term 20 and the common difference 15.

∴ Sum of the amounts =3250

⟹ n/2{2×20+(n−1)×15} = 3250

⟹ n/2(40+15n−15) = 3250

⟹ n(15n+25) = 6500

⟹152 +25n−6500 = 0

⟹3n2 +5n−1300 = 0

⟹ (n−20) (3n+65) = 0

⟹ n = 20 or, n=−65/3 ⟹ n = 20

Answer 2

Answer:

20

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