find the difference between compound and simple interest and amount of rupees 10000 at a rate of 10% per annum for 2 years and check the better one
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compound interest
Amount =![P(1+ \frac{r}{100} ) ^{n} P(1+ \frac{r}{100} ) ^{n}](https://tex.z-dn.net/?f=P%281%2B+%5Cfrac%7Br%7D%7B100%7D+%29+%5E%7Bn%7D+)
=![10000(1+ \frac{10}{100})^{2} 10000(1+ \frac{10}{100})^{2}](https://tex.z-dn.net/?f=10000%281%2B+%5Cfrac%7B10%7D%7B100%7D%29%5E%7B2%7D+)
= 10000 x 1.1²
= 10000 x 1.21
= 12100
Simple interest
Amount =![\frac{prt}{100} + p \frac{prt}{100} + p](https://tex.z-dn.net/?f=+%5Cfrac%7Bprt%7D%7B100%7D++%2B+p)
=![\frac{(10000)(10)(2)}{100} + 10000= 12000 \frac{(10000)(10)(2)}{100} + 10000= 12000](https://tex.z-dn.net/?f=+%5Cfrac%7B%2810000%29%2810%29%282%29%7D%7B100%7D+%2B%C2%A010000%3D+12000)
which one is better depends on the situation asked
Amount =
=
= 10000 x 1.1²
= 10000 x 1.21
= 12100
Simple interest
Amount =
=
which one is better depends on the situation asked
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