Find the amount for rs 15000 at 8% per annum compounded annually for two years.
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HimanshuR:
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Answered by
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Hello
Principle = rs 15000
Rate = 8 % per annum compounded anually
Time =2 years
Amount =??
So,
By the compound interest formula
Amount is equal to
![a = p {(1 + \frac{r}{100}) }^{n} a = p {(1 + \frac{r}{100}) }^{n}](https://tex.z-dn.net/?f=a+%3D+p+%7B%281+%2B+%5Cfrac%7Br%7D%7B100%7D%29+%7D%5E%7Bn%7D+)
Where,
P is the principle, r is rate of interest and n is the time period.
So,
Putting the given values in the formula we get.
![a = 15000 {(1 + \frac{8}{100} )}^{2} \\ \\ a = 1500 {( \frac{27}{25} )}^{2} \\ = 15000 \times \frac{27}{25} \times \frac{27}{25} \\ \\ = 600 \times 27 \times \frac{27}{25} \\ = 24 \times 27 \times 27 \\ = 17496 a = 15000 {(1 + \frac{8}{100} )}^{2} \\ \\ a = 1500 {( \frac{27}{25} )}^{2} \\ = 15000 \times \frac{27}{25} \times \frac{27}{25} \\ \\ = 600 \times 27 \times \frac{27}{25} \\ = 24 \times 27 \times 27 \\ = 17496](https://tex.z-dn.net/?f=a+%3D+15000+%7B%281+%2B+%5Cfrac%7B8%7D%7B100%7D+%29%7D%5E%7B2%7D+%5C%5C+%5C%5C+a+%3D+1500+%7B%28+%5Cfrac%7B27%7D%7B25%7D+%29%7D%5E%7B2%7D+%5C%5C+%3D+15000+%5Ctimes+%5Cfrac%7B27%7D%7B25%7D+%5Ctimes+%5Cfrac%7B27%7D%7B25%7D+%5C%5C+%5C%5C+%3D+600+%5Ctimes+27+%5Ctimes+%5Cfrac%7B27%7D%7B25%7D+%5C%5C+%3D+24+%5Ctimes+27+%5Ctimes+27+%5C%5C+%3D+17496)
So
The amount is equal to rs 17496
Hope this will be helping you...
Principle = rs 15000
Rate = 8 % per annum compounded anually
Time =2 years
Amount =??
So,
By the compound interest formula
Amount is equal to
Where,
P is the principle, r is rate of interest and n is the time period.
So,
Putting the given values in the formula we get.
So
The amount is equal to rs 17496
Hope this will be helping you...
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