Question

calculate the amount and the compound interest by using the formula for compound interest
principal=625 ratep.a.=4% time (in years)=2​

Answer 1

Answer:

Amount = P × ( 1 + R / 100 ) ^ T

= 625 ( 1 + 4 / 100 ) ^ 2

= 625 ( 100 + 4 /100 ) ^ 2

= 625 ( 104 / 100 ) ^ 2

= 625 ( 26 / 25 ) ^ 2

= 625 × 26 / 25 × 26 / 25

=422500

Answer 2

Answer :-

• Amount = ₹676.

• Compound Interest = ₹51.

Explanation :-

Given :

• Principal = ₹625.
• Rate per annum = 4%.
• Time taken (n) = 2 years.

To Find :

• Amount and C.I.

Solution :

Formula Used :-

$\underline{\boxed{\sf{Amount= P {\bigg(1 + \dfrac{r}{100}\bigg )}^{n} }}}$

$\implies\sf{Amount= 625{\bigg(1 + \dfrac{4}{100}\bigg )}^{2} }$

$\implies\sf{Amount= 625{\bigg( \dfrac{1}{1} + \dfrac{4}{100}\bigg )}^{2}}$

$\implies\sf{Amount= 625{\bigg( \dfrac{104}{100}\bigg )}^{2}}$

$\implies\sf{Amount= 625 \times \dfrac{104}{100} \times \dfrac{104}{100} }$

$\implies\sf{Amount= 625 \times \dfrac{26}{25} \times \dfrac{26}{25} }$

$\implies\sf{Amount= 26 \times 26}$

$\implies\boxed{\sf\red{Amount = Rs. \: 676}}$

Therefore, Amount = ₹676.

Now, Let's Calculate Compound Interest.

C.I. = Amount - Principal.

➝ C.I. = 676 - 625.

➝ C.I. = ₹51.

Therefore, Compound Interest = ₹51.