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A man repays a loan of …

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A man repays a loan of Rs 3250 by paying Rs 20 in the first month and then increasing it by Rs 15 every month. How long will it take him to clear the loan?

Posted by Lucifer?? Morningstar?? 5 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

? Pranali.A.P ? 5 years, 5 months ago

Here, a = 20, d = 15 (As payment increases by Rs. 15) and S(n) = 3 We know that, S(n) = n/2[2a + (n - 1)d] Putting all the values, we get ⇒ 3250 = n/2[2 × 20 + (n - 1) (15)] ⇒ 3250 × 2 = n[40 + 15n - 15] ⇒ 6500 = n[25 + 15n] ⇒ 1300 = n[5 + 3n] ⇒ 3n² + 5n - 1300 = 0 ⇒ 3n² + 65n - 60n - 1300 = 0 ⇒ n(3n + 65) - 20(3n + 65) = 0 ⇒ (n - 20) (3n + 65) = 0 ⇒ n = 20, - 65/3 (As n can't be negative) ⇒ n = 20 Hence, men will take 20 months to clear the loans. Read more on Brainly.in - https://brainly.in/question/1598066#readmore

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