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The Compound Interest on a Certain Sum of Money at 5% P.A. for 2 Years is Rs 512.50. What Will Be the Simple Interest on the Same Sum for 3 Years at 6% P.A.? - Mathematics

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Question

The compound interest on a certain sum of money at 5% p.a. for 2 years is Rs 512.50. What will be the simple interest on the same sum for 3 years at 6% p.a.?

Sum

Solution

P =x ; t = 2 years ; r = 5%; A=Rs (x + 512.50) 

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

Rs ( x +512.50)= x `(1 + 5/100)^2`

Rs ( x + 512.50) = x × 1.05 × 1.05

Rs ( x + 512.50) = 1.1025 x

0.1025 x = Rs 512.50

x = Rs 5,000

I =`("P" xx "r" xx "t")/100`

I = Rs `(5000 xx 6 xx 3)/100`

I = Rs 900

Simple interest will be Rs 900

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Use of Formula
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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 25 | Page 20
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