Question

find the diffrence btw compound intrest on 8000 for 3/2 year at 10 per compounded annually and simi - annually.
plz tell rght answer the answer will 21 according to answersheet


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Answer 1

Answer:

Step-by-step explanation:

It is given that  

Principal (P) = 8000

Rate = 10% p.a. or 5% half-yearly

Period = 1  

2

1

​  

 years or 3 half years  

Case 1 - When compounded annually  

A = P(1+r/100)  

n

 

Substituting the values  

=8000(1+10/100)(1+5/100)

By further calculation  

=8000×11/10×21/20

= 9240

We know that  

CI = A - P  

Substituting the values  

= 9240−8000

= 1240  

Case 2 - When compounded half- yearly

A = P(1+r/100)  

n

 

Substituting the values  

= 8000(1+5/100)  

3

 

By further calculation  

=8000×21/20×21/20×21/20

=9261

We know that  

CI=A−P

Substituting the values  

=9261−8000

=1261

Here the difference between two CI=1261−1240=21

Answer 2

$\huge\tt{\underline {Answer:- }}$

Given,

Principal (P) = 8000

Rate = 10% p.a. or 5% half-yearly

Period = 1

2

1

years or 3 half years

Case 1 - When compounded annually

A = P(1+r/100)

n

Substituting the values

=8000(1+10/100)(1+5/100)

By further calculation

=8000×11/10×21/20

= 9240

We know that

CI = A - P

Substituting the values

= 9240−8000

= 1240

Case 2 - When compounded half- yearly

A = P(1+r/100)

n

Substituting the values

= 8000(1+5/100)

3

By further calculation

=8000×21/20×21/20×21/20

=9261

We know that

CI=A−P

Substituting the values

=9261−8000

=1261

Here the difference between two CI=1261−1240=21