Find the compound intredt on rs 800 at 5 percent annum for 2 years

1.	Find the compound intredt on rs 800 at 5 percent annum for 2 years
Answer» ONG>Answer: Amount is 882 rupees. Compound Interest is 82 rupees. Step-by-step EXPLANATION: Given: Principal = 800 rupees Time = 2 years Rate of interest = 5 % To Find: Amount = ? C.I = ? SOLUTION: We KNOW that, $\sf\large{{A = P( 1 + {\dfrac{r}{100}}^{n})}}$ Now, putting on formula $\: \: \sf \implies \: a \: = 800 {(1 + \cancel\frac{ 5}{100}) }^{2} \\ \\ \: \: \sf \implies \: a = 800 {(1 + \frac{1}{20} )}^{2} \\ \\ \: \: \sf \implies \: a = 800 { (\frac{20 + 1}{20}) }^{2} \\ \\ \: \: \sf \implies \: a = 800 {( \frac{21}{20} )}^{2} \\ \\ \: \: \sf \implies \: a = \cancel 800 \times \frac{441}{ \cancel4 00} \\ \\ \: \: \sf \implies \: a = 441 \times 2 \\ \\ \: \: \sf \implies \: a = 882 \: rupees$ Hence,Amount is 882 rupees. After finding amount now we will find Compound Interest. As we know that, $\rightarrow$ C.I = A - P Now,putting on formula •C.I = 882 - 800 • C.I = 82 rupees Therefore, Compound Interest is 82 rupees. Note:- A represent Amount. P represent Principal. C.I represent Compound Interest. n represent Time. R represent Rate of interest.

Answer» ONG>Answer:

Amount is 882 rupees.
Compound Interest is 82 rupees.

Step-by-step EXPLANATION:

Given:

Principal = 800 rupees
Time = 2 years
Rate of interest = 5 %

To Find:

Amount = ?
C.I = ?

SOLUTION:

We KNOW that,

$\sf\large{{A = P( 1 + {\dfrac{r}{100}}^{n})}}$

Now, putting on formula

$\: \: \sf \implies \: a \: = 800 {(1 + \cancel\frac{ 5}{100}) }^{2} \\ \\ \: \: \sf \implies \: a = 800 {(1 + \frac{1}{20} )}^{2} \\ \\ \: \: \sf \implies \: a = 800 { (\frac{20 + 1}{20}) }^{2} \\ \\ \: \: \sf \implies \: a = 800 {( \frac{21}{20} )}^{2} \\ \\ \: \: \sf \implies \: a = \cancel 800 \times \frac{441}{ \cancel4 00} \\ \\ \: \: \sf \implies \: a = 441 \times 2 \\ \\ \: \: \sf \implies \: a = 882 \: rupees$

Hence,Amount is 882 rupees.

After finding amount now we will find Compound Interest.

As we know that,

$\rightarrow$ C.I = A - P

Now,putting on formula

•C.I = 882 - 800

• C.I = 82 rupees

Therefore, Compound Interest is 82 rupees.

Note:-

A represent Amount.
P represent Principal.
C.I represent Compound Interest.
n represent Time.
R represent Rate of interest.