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Step-by-step explanation:
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
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