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Simple Interest on a Sum of Money for 2 Years at 4% is Rs. 450. Find Compound Interest of the Same Sum and at the Same Rate for 2 Years.

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Question

Simple interest on a sum of money for 2 years at 4% is Rs. 450. Find compound interest of the same sum and at the same rate for 2 years.

Sum
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Solution

SI = Rs. 450
R = 4%
T = 2 years
P = ?

P = `["SI" xx 100 ]/[ "R" xx "T" ] = [ 450 xx 100 ]/[ 4 xx 2 ] = Rs. 5625`

A = `5625[ 1 + 4/100 ]^2`

= `5625(26/25)^2`

= `[3802500]/625`

= Rs. 6084

CI = A - P = 6084 - 5625 = Rs. 459

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Concept of Compound Interest - Miscellaneous Problem
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Chapter 3: Compound Interest (Stage 2) [Applications] - Exercise 3 (B) [Page 46]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 3 Compound Interest (Stage 2) [Applications]
Exercise 3 (B) | Q 6 | Page 46
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