Question

principal is 8000rs rate is 6% time is 3years find the amount and compound interest​

Answer 1

Answer:

720 is a amount

8720 is a compound interest

Step-by-step explanation:

principal = 8000

Rate =6 %

time = 3 years

Amount = principal × rate × time upon 100

Amount = 8000 × 6× 3 upon 100

Amount = 720

compound interest = principal + amount

. = 8000 + 720

= 8720

Answer 2

Answer :-

• The amount = Rs 9528.128.

• The compound interest is Rs 1528.128.

To find :-

• The total amount.

• The compound interest.

Solution :-

• Before finding the compound interest, let's find the amount!

We know that :-

$\underline{ \boxed{\sf Amount = Principal \left(1 + \dfrac{Rate}{100} \right)^{Time}}}$

Here,

• Principal = Rs 8000.
• Rate = 6% per annum.
• Time = 3 years.

Hence,

$\rightarrow\rm Amount = 8000 \left(1 + \dfrac{6}{100} \right)^{3}$

$\rightarrow\rm Amount = 8000 \left(1 + \dfrac{3}{50} \right)^{3}$

$\rightarrow\rm Amount = 8000 \left( \dfrac{1 \times 50 + 3 \times 1}{50} \right)^{3}$

$\rightarrow\rm Amount = 8000 \left( \dfrac{50 + 3}{50} \right)^{3}$

$\rightarrow\rm Amount = 8000 \left( \dfrac{53}{50} \right) ^{3}$

$\rightarrow\rm Amount = 8000 \times \dfrac{53}{50} \times \dfrac{53}{50} \times \dfrac{53}{50}$

$\rightarrow\rm Amount = 8000 \times \dfrac{148877}{125000}$

$\rightarrow\rm Amount = 8 \!\!\!\not0 \!\!\!\not0 \!\!\!\not0 \times \dfrac{148877}{125 \!\!\!\not0 \!\!\!\not0 \!\!\!\not0}$

$\rightarrow\rm Amount = 8 \times \dfrac{148877}{125}$

$\rightarrow\rm Amount = \dfrac{1191016}{125}$

$\rightarrow \overline{ \boxed{\rm Amount = Rs \:9528.128}}$

----------------------------------------

• Now, as we know the amount, let's find the compound interest!

We know that :-

$\underline{ \boxed{\sf CI = Amount - Principal}}$

Where,

• CI = Compound Interest.

Here,

• Amount = Rs 9528.128.
• Principal = Rs 8000.

Therefore,

$\boxed{\bf CI = 9528.128 - 8000}$

$\boxed{ \bf CI = Rs \: 1528.128}$

________________________________

• Hence, the compound interest is Rs 1528.128.