Question

Find the amount to be paid at the end of 2 years on ₹400 at 5% per annum compounded annually​

Answer 1

Answer:

Given :-

• Time = 2 years
• Principal = ₹400
• Rate = 5%

To Find :-

Amount to be paid.

Solution :-

As we know that

$\frak \red{A = P \lgroup1 + \dfrac{r}{100} \rgroup \: {}^{n} }$

$\sf \implies \: A = 400 \bigg \lgroup1 + \dfrac{5}{100} \bigg \rgroup {}^{n}$

$\sf \implies \:A \: = 400 \bigg \lgroup \: \dfrac{100 + 5}{100} \bigg \rgroup {}^{2}$

$\sf \implies \: A = 400 \bigg \lgroup \dfrac{105}{100} \bigg \rgroup {}^{2}$

$\sf \implies \: A \: = 400 \times \dfrac{105}{100} \times \dfrac{105}{100}$

$\sf \implies \: A \: = \dfrac{4,410,000}{10000}$

$\sf \implies \: Amount \: =rupees \: 441$

Answer 2

Question:-

Find the amount to be paid at the end of 2 years on ₹400 at 5% per annum compounded annually .

Given informations:-

☆ Principal (P) = Rs 400

☆ Time (N) = 2 years

☆ Rate (R) = 5 %

Formula to be applied here:-

• Amount = Principal ( 1 + R/100 )ⁿ

Answer:-

→ A = P ( 1 + R/100 )ⁿ

→ A = 400 ( 1 + 5/100 )²

→ A = 400 ( 1 + 1/20 )²

→ A = 400 × ( 21/20 )²

→ A = 400 × 21² × 1/ 400

→ A = 21²

→ A = 441

Therefore:-

☆ Amount = Rs 441 ✔