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On What Sum of Money Will the Compound Interest for 2 Years at 8% per Annum Amount to Rs 1399.68? - Mathematics

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Question

On what sum of money will the compound interest for 2 years at 8% per annum amount to Rs 1399.68?

Sum

Solution

P = x ; t = 2 years ; r = 8 % ; A = Rs (x + 1399.68)

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

Rs (x + 1399.68) = x `(1 + 8/100)^2`

Rs (x + 1399.68) =x × 1.08 × 1.08

Rs (x + 1399.68) = 1.1664 x

0.1664 x = Rs 1399.68

x = Rs 81411.538 

On Rs 8,411.538 the C.I. for 2 years at 8%  will be Rs 1399.68 

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Chapter 1: Compound Interest - Exercise 1.6 [Page 20]

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 1 Compound Interest
Exercise 1.6 | Q 10 | Page 20

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