Question

At what rate of interest per annum will a sum of ₹62,500 earn a compound interest of ₹5,100 in one
year? What is the interest is to be compounded half-yearly.

Answer 1

Step-by-step explanation:

= x 2 % per half yr Time , n = 1 yr = 2 half yrs Now , amount , A = P 1 + R 100 n ⇒ P + CI = P 1 + R 100 n ⇒ 62500 + 5100 = 62500 1 + x 200 2 ⇒ 67600 = 62500 1 + x 200 2 ⇒ 676 625 = 1 + x 200 2 ⇒ 1 + x 200 = 26 25 ⇒ x 200 = 26 25 - 1 ⇒ x 200 = 26 - 25 25 ⇒ x 200 = 1 25 ⇒ x = 8 So , rate of interest is 8

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