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प्रश्न
What sum of money will amount to Rs. 27,783 in one and a half years at 10% per annum compounded half yearly?
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उत्तर
Given:
Amount, A = ₹ 27,783
Rate, R = 10% per annum
Time, T = 1.5 years = `1 1/2 = 3/2` years
Compounded half-yearly
Convert data for half-yearly compounding
Rate per half-year = `10/2 = 5%`
Number of half-years = 1.5 × 2 = 3
Use compound interest formula
`A = P (1+r/100)^n`
27,783 = P `(1+5/100)^3`
27,783 = P(1.05)3
27,783 = P × 1.157625
`P = 27783/1.157625`
P = ₹ 24,000
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