Question

Q4. Find the compound interest on rupees 48,000 for 1 year at 8%
per annum when compounded half yearly.​

Answer 1

Step-by-step explanation:

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Answer 2

Given:-

• Principal = Rs.48000
• Time = 1 year
• Rate = 8% p.a.

To Find:-

• Compound Interest if the sum is compounded half-yearly.

Solution:-

We know,

When a sum is compounded annually, we use the formula:-

$\sf{A = P\bigg(1+\dfrac{r}{200}\bigg)^{2n}}$

Hence,

$\sf{A = 48000\bigg(1+\dfrac{8}{200}\bigg)^{2\times1}}$

$\sf{A = 48000\bigg(\dfrac{208}{200}\bigg)^2}$

$\sf{A = 48000\times\dfrac{208}{200}\times\dfrac{208}{200}}$

$\sf{A = \dfrac{519168}{10}}$

$\sf{A = 51916.8}$

Hence the Amount is Rs.51916.8

Now,

We know,

CI = A - P

CI = $\sf{}$

CI = Rs.3916.8

Therefore Compound Interest will be Rs.3916.8

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Important Points!!!

• When the sum is compounded annually we use the formula:-

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

• When the sum is compounded half-yearly we use the formula:-

$\sf{A = P\bigg(1+\dfrac{r}{200}\bigg)^{2n}}$

• When the sum os compounded quarterly we use the formula:-

$\sf{A = P\bigg(1+\dfrac{r}{400}\bigg)^{4n}}$

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