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Question
Calculate the amount and cornpound interest for the following, when cornpounded annually:
Rs 8,000 for `1 1/2` years at 12 % p.a.
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Solution
P=Rs 8,000 ; t = `1 1/2 ` years ; r = 12 % p.a.
`"A" = "P" (1 + "r"/100)^"n"`
A = Rs 8000`(1 +12/100) (1 + 12/100)^(1/2)`
= Rs 8000 × 1.12 × `(1 + 1/2 xx 12/100)`
= Rs 8,000x 1.12x 1.06
= Rs 9,497.60
C.l. = A - P
= Rs (9,497.60 - 8,000)
= Rs 1,497.60
Hence, Amount= Rs 9,497.60 and C.I. =Rs 1,497.60
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