Question

find the amount and the compound interest on rs 8000 for 1 year at 10% per annum compounded half yearly​

Answer 1

• Answer :-

• Amount = 8820 Rupees

• Interest = 820 Rupees

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• Given :-

• Principal = 8000 Rupees

• Time = 1 year

• Rate = 10% Compounded Half Yearly

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• To Find :-

• Amount after 1 Year.

• Compound Interest.

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• Step By Step Explanation

$\implies\boxed {\sf \: P({ 1+\cfrac{ \frac{R}{2} }{100} ) ^{2 N } }}$

$\implies\sf\cfrac{r}{2} = \cfrac{10}{2} \\ \\ \implies \sf5$

$\implies \sf \: 2n \: = 2 \times 1 \\ \\ \implies \sf2$

Now Amount =>

$\implies \sf8000( 1 + \cancel\cfrac {5}{100} ) ^{2} \\ \\ \implies \sf8000(1 + \cfrac{1}{20} ) ^{2} \\ \\ \implies \sf \cancel8 \cancel0 \cancel0 \cancel0 \times \cfrac{21}{ \cancel2 \cancel0} \times \cfrac{21}{ \cancel2 \cancel0} \\ \\ \implies \sf20\times 21 \times 21 \\ \\ \implies \sf 441 \times 20 \\ \\ \implies \sf8820$

Therefore Amount = 8820 Rupees

Now Compound Interest = Amount - Principal

8820 - 8000 = 820 Rupees

Therefore Compound Interest = 820 Rupees

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