Simple interest on sum of money for 2 years at 4% is Rs 450 find compound on same sum and at the same rate for 1 years if interest is reckoned half yearly
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Answered by
133
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.
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.
Answered by
41
Answer:
time = 2 year
rate=4%
si = 450
Step-by-step explanation:
SI = p×r×t/100
450=p×4×2/100
450×100/2×4=p
5625=p
rate=4/2
time = 1×2
amount= 5625(1+2/100)^2
amount= 5852.25
compound interest= 5625-5852.25
= 227.25
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