Question

1. Calculate the amount and the compound interest on 25000 for 2 years at 8% per annum,
compounded annually,​

Answer 1

Given :-  

• Principal amount is Rs 25,000  
• Rate of interest is 8 %
• Time is 2 years  

To Find :-  

• Compound Interest  

Solution :-  

~Here, we’re given the principal , rate of interest and time for which the money is invested and we need to find the Compound Interest ( CI ) after the given time. We can easily find the amount by putting the values in it’s formula and then Compound Interest.  

_____________

Here,  

• The principal  ( P ) is Rs. 25,000

• The rate ( R ) is 8 %  

• The time ( n )  is 2 years  

• The amount will be ( A )  

• Compound Interest be ( CI )  

_____________

As we know that ,

$\boxed{\sf{ \maltese \;\; A = P \bigg\{ 1 + \dfrac{R}{100} \bigg\}^{n} }}$

$\boxed{ \sf { \maltese \;\; CI = A -P }}$

Finding the Amount :-  

$\sf \dashrightarrow A = 25,000 \bigg\{ 1 + \dfrac{8}{100} \bigg\}^{2}$

$\sf \dashrightarrow A = 25,000 \bigg\{ \dfrac{27}{25} \bigg\}^{2}$

$\sf \dashrightarrow A = 25,000 \times \dfrac{27}{25} \times \dfrac{27}{25}$

$\sf \dashrightarrow A = 40 \times 27 \times 27$ 

$\boxed{\bf{ \bigstar \;\; Amount = Rs. \; 29,160 }}$

Finding the Compound Interest :-  

$\sf \dashrightarrow CI = Rs. \; 29,160 -Rs. \;25,000$  

$\boxed{ \bf { \bigstar \;\; Compound\;Interest = Rs. \; 4,160 }}$

_____________

Hence,  

• The compound interest is Rs. 4,160  

Answer 2

A N S W E R :

• The compound interest is Rs. 4,160.

Given :

• Principal amount is Rs. 25,000
• Rate of the interest is 8%
• Time is 2 years

To find :

• Find the Compound interest ?

Solution :

As we know that,

Formula Used :

★ A = P(1 + r/100)^n

=> A = 25000(1 + 8/100)^2

=> A = 25000 × (108/100)^2

=> A = 25000 × (54/50)^2

=> A = 25000 × 54/50 × 54/50

=> A = 250 × 54/5 × 54/5

=> A = 50 × 54 × 54/5

=> A = 10 × 54 × 54

=> A = 10 × 2916

=> A = Rs. 29,160

★ Compound Interest = Amount - Principal

Compound Interest = Rs. 29,160 - Rs. 25,000

Compound Interest = Rs. 4,160

Hence,

• The compound interest is Rs. 4,160.