Question

find the compound interest on ₹ 15625 for 1\2 years at 8%p.a. when compounded half yearly

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Answer 1

Step-by-step explanation:

$\bf{\underline{\underline\red{Given:-}}}$

• Principal = Rs. 15625

• Time = ½ year

• Rate = 8% per annum

$\bf{\underline{\underline\blue{To\:Find:-}}}$

• The compound interest compounded half - yearly.

$\bf{\underline{\underline\green{Solution:-}}}$

To find Compound Interest first we need to find the Amount.

Principal = Rs. 15625

Rate = 8% per annum

Rate = 4% for half - year

Time = ½ year = 1 half - year.

$\boxed{ \rm \leadsto Amount = P \bigg(1 + \frac{r}{100} \bigg)^{n} }$

Here:-

• P = principal = Rs. 15625

• r = rate = 4%

• n = time = 1

Substituting the values:-

${ \rm \implies A= 15625\bigg(1 + \dfrac{4}{100} \bigg)^{1} }$

${ \rm \implies 15625\bigg( \dfrac{100 + 4}{100} \bigg) }$

$\rm \implies15625\bigg( \dfrac{104}{100} \bigg) }$

${ \rm \implies 15625 \times \dfrac{104}{100} }$

${ \rm \implies \dfrac{2187500}{100} }$

${ \rm \implies {21875} }$

Amount = Rs. 21875

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

${ \rm \implies21875 - 15625 }$

${ \rm \implies6250}$

$\underline{\boxed{ \rm \purple{\therefore Compound \: Interest = Rs.6250}}}$