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What Sum of Money Will Amount To Rs. 27,783 in One and a Half Years at 10% per Annum Compounded Half Yearly ? - Mathematics

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Question

What sum of money will amount to Rs. 27,783 in one and a half years at 10% per annum compounded half yearly ?

Sum

Solution

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

⇒ `27,783 =  "P"( 1 + 10/200 )^(3/2 xx 2)`

⇒ `27,783 =  "P"( 21/20 )^(3)`

⇒ P = `"27,783(20/21)^3`

⇒ P = 24,000

The sum of Rs. 24,000 amount Rs. 27,783 in one and a half years at 10% per annum compounded half yearly.

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

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 3 Compound Interest (Using Formula)
Exercise 3 (C) | Q 4 | Page 50

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