Question

₹5000 is lent at 5 percent compound interest per year of 2 years find the amount and compound​

Answer 1

Given:

Principle=₹5000

Rate=5%

Time=2 years

As we know :

$A=P ({1 + \frac{r}{100} }^{2} )$

$A = 5000( {1 + \frac{5}{100} }^{2} ) \\A = 5000( {1 + \frac{1}{20} }^{2} ) \\ A = 5000( { \frac{21}{20} }^{2} ) \\ A = 5000 \times \frac{21}{20} \times \frac{21}{20} \\ A= \frac{50 \times 21 \times 21}{2 \times 2} \\ A= \frac{22050}{4} \\ A = 5512.5$

Therefore the amount is ₹5512.50

Now compound Interest = A-P

=₹5512.50-5000

=512.50

Therefore Amount is ₹5512.50 and compound Interest is ₹512.50

Answer 2

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