Question

Find the compound interest on RS 5000 at 12% p.a. for 1 year, compounded half yearly.

Answer 1

Answer:

The compound interest is Rs. 618.

Step-by-step explanation:

Refer to the attachment.

Answer 2

$\huge{\underline{\underline{\mathcal{\pink{Solution:-} }}}}$

Given that:-

★ Principal = 5000Rs

★ Rate = 12% = 12/2 = 6%

★ time = 1year = 2 half year

Then according to questions:-

using formula,

$\boxed{\boxed{\boxed{\red{Amount\:=\: principal{(1 + \frac{Rate}{100} )}^{time} } }}} \\ \\</p><p>Amount = 5000{(1 + \frac{6}{100})}^{2} \\ \\ </p><p>Amount = 5000{( 1 + \frac{3}{50})}^{2} \\ \\ </p><p>Amount = 5000{(\frac{53}{50})}^{2} \\ \\ </p><p>Amount = 5000 × \frac{53}{50} × \frac{53}{50} \\ \\ </p><p>Amount = 2 × 53 × 53$

Amount = 5618

Therefore,

Compound interest = Amount - principal

Compound interest = 5618 - 5000

Compound interest = 618Rs

$\boxed{\boxed{\underline{\underline{\mathcal{\pink{Compound\: interest = 618Rs} }}}}}$