Question

find the amount and the compound interest on 12800 for 1 year at 15/2% per annum compounded semi annually

Answer 1

A = P ( 1 + R/100)^n

P = Rs. 12,800; R = 15/2% p.a. = 15/4 % half-yearly; T = 1 year;

n = 2 ( 2 half-years make 1 year)

So, A = 12,800 ( 1+ (15/4)/100) ^ 2 = 12,800 ( 1 + 15/400)^ 2 = 12,800(415/400)^2

= 12,800 * (1,72,225/1,60,000) = Rs.13,778

C.I. = 13,778 - 12,800 = Rs.978

Answer : Amount = Rs. 13,778; C.I. = Rs. 978

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Answer 2

Answer:

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