Question

calculate the amount and the compound interest by using the formula for compound interest principal = 8000 , rate = 10% half yearly . time = 1 upon 1 / 2​

Answer 1

Given :

• Principal(P) = Rs 8000

• Rate(r) = 10%

• Time(t) = $\sf \: 1 \dfrac{1}{2}$ years

To Find :

• Amount and the Compound Interest Half-Yearly.

Solution :

We know that when interest is compounded Half-Yearly

• Rate is divided by 2

• Time is multiplied with 2

So now we have,

• Rate = $\sf\cancel\dfrac{10}{2}$ = 5% half-year

• Time = $\sf \: 1 \dfrac{1}{2}\: \times 2$ = 3 half-years

Now,

$\bigstar \: \: \boxed{ \sf \: Amount = P(1 + \frac{r}{100} ) ^{t}}$

$\longrightarrow \sf \: 8000(1 + \cancel\dfrac{5}{100} ) ^{3}$

$\longrightarrow \sf \: 8000(1 + \dfrac{1}{20} ) ^{3}$

$\longrightarrow \sf \: 8000(\dfrac{20 + 1}{20} ) ^{3}$

$\longrightarrow \sf \: 8000 \times \dfrac{21}{20} \times \dfrac{21}{20}\times \dfrac{21}{20}$

$\longrightarrow \sf \cancel \dfrac{74088000}{8000}$

$\longrightarrow \sf \red{Rs \: 9261}$

$\therefore$ Amount at the sum is Rs 9261

Let's find Compound Interest Now :

$\bigstar \: \: \boxed{ \sf \:Compound \: Interest = Amount - Principal}$

$\longrightarrow \sf \: Rs \: 9261 - 8000$

$\longrightarrow \sf \red{Rs \:1261}$

$\therefore$ Compound Interest at the sum is Rs 1261

Answer 2

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QUESTION :

Calculate the amount and the compound interest by using the formula for compound interest.

principal = 8000 .

rate = 10% half yearly

. time = 1 upon 1 / 2 years.

SOLUTION :

The time is 3 / 2 years of 3 half years.

Rate is 10% half yearly..

Formulae Used :

$A = P { \dfrac{(1 + \frac{R}{2}) }{100}} ^ n$

Substituting the values into the above Formula :

Calculating :

Amount = Rs. 9261.

Principal = Rs. 8000

Therefore Compound Interest

=> Amount - Principal

=> Rs. 9261 - Rs. 8000

=> Rs. 1261

The answer is Rs. 1261...