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प्रश्न
On what sum of money will the compound interest for `1 1/2` years at 16% p.a. compounded half-yearly amount to Rs 649.28?
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उत्तर
P =x ; t = `1 1/2 ` years = 3 x 6 months ; r = 16 % compounded half-yearly =`16/2` % = 8% ; A = Rs (x + 649.28)
`"A" = "P" (1 + "r"/100)^"n"`
Rs (x + 649.28) = x `(1 + 8/100)^3`
Rs (x + 649.28) =x × 1.08 × 1.08 × 1.08
Rs (x + 649.28) = 1.259712 x
0.259712 x = Rs 649.28
x = Rs 2,500
On Rs 2,500 the C.I. for `1 1/2` years at 16% compounded half-yearly will be Rs 649.28
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