Question

Principal =20,000; Time = 1 year, Rate = 12%
per annum; interest compounded half-yearly.​

Please help me

Answer 1

Answer:

Interest Compounded half-yearly = Rs 2,472

Step-by-step explanation:

Given :

Principal (P) = Rs 20,000

Time (n) = 1 year

Rate (r) = 12 % per annum

To find :

Interest compounded half-yearly

Solution :

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

⇒ $20,000 \: (1 + \dfrac{ \dfrac{12}{2} }{100} )^{1 \times 2}$

⇒ $20,000 \: (1.06)^{2}$

⇒ 22,472

⇒ A = Rs 22,472

⇒ P = Rs 20,000

★ Interest =

• A - P = Interest
• 22,472 - 20,000 = 2,472
• Interest = Rs 2,472

Therefore,

Interest Compounded half-yearly = Rs 2,472

Answer 2

$\large\bf{\underline\orange{Answer \:↝}}$

Given

R = 12/2 = 6%

P = 20,000

T = 1year

$A =P {({1 + \frac{R}{100} })}^{T}$

$= 20000 {(1 + \frac{6}{100}) }^{1}$

$= 20000( \frac{100 + 6}{100} )$

$= 2000( \frac{106}{100} )$

$= 20(106)$

$= 2120$