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# Find the Difference Between Simple Interest and Compound Interest on ₹20000 at 8 P.C.P.A. - Mathematics

Sum

Find the difference between simple interest and compound interest on ₹20000 at 8 p.c.p.a.

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#### Solution

Disclaimer: In the question "Time" is not given. So the question is solved taking time as 2 years, because simple interest and compound interest will be same for one year.

Here, P = Principal = ₹ 20000
R = 8 %
N = 2 years

Simple interest = ("P" xx "R" xx "N")/100

= (20000 xx 8 xx 2)/100

= 3200

Amount = "P" (1 + "R"/100)^"N"

= 20000 (1 + 8/100)^2

= 20000 (1 + 2/25)^2

= 20000 (27/25)^2

= 23328

Compound interest = 23328 - 20000

= 3328

Compound interest - Simple interest = 3328 - 3000

= 128

Hence, the difference between simple interest and compound interest is ₹ 128.

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#### APPEARS IN

Balbharati Mathematics 8th Standard Maharashtra State Board
Chapter 14 Compound interest
Practice Set 14.2 | Q 10 | Page 93
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