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Find the Amount and Compound Interest on Rs.50000 on 1 1 2 Years at 8% P.A. Compounded Half-yearly.

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Question

Find the amount and compound interest on Rs.50000 on 1`(1)/(2)` years at 8% p.a. compounded half-yearly.

Sum
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Solution

Here P = Rs50000, t = 1`(1)/(2)` years, r = 8%
Since interest is compounded half-yearly, so
Now, Amount
= `"P"(1 + "r"/200)^(2"t")`

= `50000(1 + 8/200)^3`

= `50000(104/100)^3`
= 56243.20
Hence, Amount = Rs.56243.20
Also, C.I.
= A - P.
= Rs.56243.20 - Rs.50000
= Rs.6243.20.

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Concept of Compound Interest - When the Interest is Compounded Half Yearly
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Chapter 2: Compound Interest - Exercise 3.2

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Frank Mathematics Part 1 [English] Class 9 ICSE
Chapter 2 Compound Interest
Exercise 3.2 | Q 4
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