Question

Find
the compound interest on a 2,50,000 at the
rate of 8% per annum
for
$1 \frac{1}{2}$
years when
interest is Compounded half-yearly.
annun​

Answer 1

Answer:

principal-250000,

rate-8% for half yearly rate is r÷2 so,8÷2=4

now,rate=4%

time-1.5 yes for half yearly t×2 so,1.5 ×2=3  

now,time= 3yrs

amount= principal (1+rate/100)^n  ,we have

amount=250000(1+4/100)^3

A= 250000(100+4/100)^3

A=250000(104/100)^3  

A=25×104×104×104/100

A=Rs 281216

compound interest=Amount-principal

compound interest=281216-250000

compound interest=31216

I hope my answer is useful for us....

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Answer 2

Given:-

• Principal = Rs.250000
• Rate = 8% p.a.
• Time = $\sf{1\dfrac{1}{2}\:years = \dfrac{3}{2}}$

To Find:-

• The Compound Interest if the interest is compounded half yearly

Solution:-

We know,

To find amount if the interest is compounded half-yearly, we use the formula:-

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

Hence,

$\sf{A = 250000\bigg(1+\dfrac{8}{200}\bigg)^{2\times \dfrac{3}{2}}}$

$\sf{\implies A = 250000\bigg(\dfrac{200+8}{200}\bigg)^3}$

$\sf{\implies A = 250000\bigg(\dfrac{208}{200}\bigg)^3}$

$\sf{\implies A = 250000\bigg(\dfrac{208}{200}\bigg)\bigg(\dfrac{208}{200}\bigg)\bigg(\dfrac{208}{200}\bigg)}$

$\sf{\implies A = 281316}$

∴ Amount after 1 and a half year will be Rs.281316.

We know,

CI = Amount - Principal

⇒ CI = 281316 - 250000

⇒31216

∴ The Compound Interest after 1 and a half year if the interest is compounded half-yearly will be Rs.31216.

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More Information:-

Formula for finding amount if the interest is compounded annually is:-

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

Formula for finding amount if the interest is compounded quarterly is:-

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

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