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Calculate the Amount and Cornpound Interest for the Following, When Cornpounded Annually: - Mathematics

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Question

Calculate the amount and cornpound interest for the following, when cornpounded annually: 

Rs 8,000 for `1 1/2` years at 12 % p.a. 

Sum

Solution

P=Rs 8,000 ;  t = `1 1/2 ` years ; r = 12 % p.a.

`"A" = "P" (1 + "r"/100)^"n"`

A = Rs 8000`(1 +12/100) (1 + 12/100)^(1/2)`

= Rs 8000 × 1.12 × `(1 + 1/2 xx 12/100)` 

= Rs 8,000x 1.12x 1.06

= Rs 9,497.60 

C.l. = A - P

= Rs (9,497.60 - 8,000)

= Rs 1,497.60 

Hence, Amount= Rs 9,497.60 and C.I. =Rs 1,497.60 

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Use of Formula
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Chapter 1: Compound Interest - Exercise 1.6 [Page 19]

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 1 Compound Interest
Exercise 1.6 | Q 1.5 | Page 19
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