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Question
Find the difference between C.I and S.I on ₹ 5000 for 1 year at 2% p.a, if the interest is compounded half yearly
Sum
Solution
Principal (P) = ₹ 5000
Time period (n) = 1 year
Rate of interest (r) = 2% p.a
For half-yearly r = 1%
Difference between C.I and S.I is given by the formula
C.I − S.I = `"P"("r"/100)^(2"n")` ...[For half yearly compounding]
∴ C.I − S.I = `5000(1/100)^(2 xx 1)`
= `5000 xx 1/100 xx 1/100`
= ₹ 0.50
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