find the difference between compound interest and simple interest on rs 8000 in 2 years at 5% p.a.
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Answered by
10
Principal=8000
Rate=5℅
Time =2 years
So,
![amount = 8000(1 + \frac{5}{100}) ^{2} amount = 8000(1 + \frac{5}{100}) ^{2}](https://tex.z-dn.net/?f=amount+%3D+8000%281+%2B++%5Cfrac%7B5%7D%7B100%7D%29+%5E%7B2%7D+++)
![= 8000 \times \frac{105}{100} \times \frac{105}{100} = 8000 \times \frac{105}{100} \times \frac{105}{100}](https://tex.z-dn.net/?f=+%3D+8000+%5Ctimes+%5Cfrac%7B105%7D%7B100%7D+%5Ctimes++%5Cfrac%7B105%7D%7B100%7D++)
=8820
CI= Amount-Principle
CI=8820-8000
CI=820
And,
![si = \frac{p \times r \times t}{100} si = \frac{p \times r \times t}{100}](https://tex.z-dn.net/?f=si+%3D++%5Cfrac%7Bp+%5Ctimes+r+%5Ctimes+t%7D%7B100%7D+)
![= \frac{8000 \times 2 \times 5}{100} = 800 = \frac{8000 \times 2 \times 5}{100} = 800](https://tex.z-dn.net/?f=+%3D++%5Cfrac%7B8000+%5Ctimes+2+%5Ctimes+5%7D%7B100%7D++%3D+800)
The difference between CI and SI
CI-SI=820-800
=20
Rate=5℅
Time =2 years
So,
=8820
CI= Amount-Principle
CI=8820-8000
CI=820
And,
The difference between CI and SI
CI-SI=820-800
=20
Answered by
0
20 is the answer of your question
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