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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 8

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 - Mathematics

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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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Difference Between Compound Interest and Simple Interest
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Chapter 4: Life Mathematics - Exercise 4.3 [Page 139]

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Samacheer Kalvi Mathematics [English] Class 8 TN Board
Chapter 4 Life Mathematics
Exercise 4.3 | Q 8 | Page 139
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