The simple intrest on sum of money for 2 years at 4% is 450.Find compound intrest on this money at the same rate for 1 year if the interest is reckoned half yearly.
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Step-by-step explanation:
The formula for SI = Pnr/100
Given SI = Rs. 450, n = 2 and r = 4%, we have
450 = 2*4*P/100
Or P = 450*100/(2*4) = 5625.
CI for the same interest rate for 1 year, compounded every half yearly can be given by the formula
A = P(1+r/100)^n.
Here, P = 5625, r = 4/2 = 2% and n = 2, since there are two half-yearly compounding of the amounts.
Thus A = 5625*(1+2/100)^2 = 5625*1.02)^2 = 5625*1.0404 = 5852.25
Therefore, the compound interest is A - P = 5852.25-5625 = 227.25.
Thus, the CI for Rs. 5625 at 4% compounded half-yearly is Rs. 227.25.
Hope it helps you...
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