Question

Calculate the amount and compound interest on ₹ 25,000 for 2 years at 8% per annum compounded annually​

Answer 1

Answer:

The Compound Interest on Rs. 25,000 is Rs. 4160 and Amount received will be Rs. 29,160.

Step-by-step explanation:

Given :

Sum of money = Rs. 25,000

Time = 2 years

Rate = 8%

To find :

The compound interest and amount

Solution :

$\textsf{\underline{\underline{Amount -}}}$

• P = 25,000
• N = 2
• R = 8

$\bigstar \: {\boxed{\rm{A= P\left( 1 + \frac{R}{100}\right)^{N}}}}$

$\rm{\longrightarrow} \: A= 25000\left( 1 + \dfrac{8}{100}\right)^{2} \\ \\ \rm{\longrightarrow} \: A= 25000\left(\dfrac{108}{100}\right)^{2} \\ \\ \rm{\longrightarrow} \: A= 25000\left(\dfrac{27}{25}\right)^{2} \\ \\ \rm{\longrightarrow} \: A= \cancel{25000} \times \dfrac{27}{\cancel{25}} \times \dfrac{27}{\cancel{25}} \\ \\ \rm{\longrightarrow} \: A=40 \times 27 \times 27 \\ \\ \rm{\longrightarrow} \: A=1080 \times 27 \\ \\ \rm{\longrightarrow} \: A=29160$

Amount = Rs. 29160

$\rule{300}{1.5}$

$\textsf{\underline{\underline{Compound interest -}}}$

• A = 29160
• P = 25,000

$\bigstar \: \boxed{\rm{CI = Amount - Principal}}$

$\rm{\longrightarrow} \: CI =29160 - 25000 \\ \\ \rm{\longrightarrow} \: CI =4160$

Compound interest = Rs. 4160

$\therefore$ The Compound Interest on Rs. 25,000 is Rs. 4160 and Amount received will be Rs. 29,160.

Answer 2

Answer:

Question:-

Calculate the amount and compound interest on Rs.25,000 for 2 years at 8% per annum compounded annually.

Solution:-

Given:-

• Principal (p) = Rs.25,000
• Time(n) = 2 years.
• Rate of interest (r) = 8%

To find:-

• Compound interest and amount.

We know that,

$\star{\boxed{\sf\blue{CA = P(1 + r)^n }}}$

➳ CA = 25,000(1 + 8%)²

➳ CA = 25,000(1 + 8/100)²

➳ CA = 25,000(1 + 2/25)²

➳ CA = 25,000[(25 + 2)/25)]²

➳ CA = 25,000(27/25)²

➳ CA = 25,000(1.08)²

➳ CA = 25,000 × 1.1664

➳ CA = Rs.29,160

$\therefore{\underline{\text{Compounded \: amount = Rs.29,160}}}$

$\rule{100}{2}$

We know,

↬ CI = Compounded amount - Principal

↬ CI = Rs.(29,160 - 25,000)

↬ CI = Rs.4,160

$\therefore{\underline{\text{Coumpound \: interest \: earned = Rs.4,160}}}$