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Find out the compound interest after 1 1/2 years on an amount of 3,000/- at 8%
annual rate of interest when the compounding of interest is half yearly.
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p = 3000 rs
r = 8% yearly = 4 % half yearly
t = 1½ years = 1 year = 12 month
½ year = 6 month
= 18 month
= 18/6 = 3 half years
A = P (1+R/100)t
A = 3000 (1+4/100)³
A = 3000 (1+1/25)³
A = 3000 (25+1/25)³
A = 3000 (26/25)³
A = 3000 × 26/25 ×26/25 ×26/25
A = 24 × 26 × 26 ×26 /5×25
A = 24×26×676/125
A = 624 × 676/125
A = 421824/125
A = 3374.5 R.S
C.I. = A-P
C.I.= 3374.5–3000
C.I = 374.5 R.S
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