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If the Interest is Compounded Half-yearly, Calculate the Amount When Principal is Rs. 7,400; the Rate of Interest is 5% per Annum and the Duration is One Year.

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Question

If the interest is compounded half-yearly, calculate the amount when principal is Rs. 7,400; the rate of interest is 5% per annum and the duration is one year.

Sum
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Solution

Given: P = Rs. 7,400; r = 5% p.a. and n = 1 year

Since the interest is compounded half-yearly,

Then, A = `"P"( 1 + r/[ 2 xx 100] )^(n xx 2)` 

= `7,400( 1 + 5/[ 2 xx 100] )^(1 xx 2)`

= `7,400( 41/40)^2`

= Rs. 7,774.63

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Concept of Compound Interest - When the Interest is Compounded Half Yearly
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Chapter 3: Compound Interest (Stage 2) [Applications] - Exercise 3 (C) [Page 50]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 3 Compound Interest (Stage 2) [Applications]
Exercise 3 (C) | Q 1 | Page 50
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