Question

find the amount and compound interest on rupees 8000 for 1 year and 5% interest paid half yearly?​

Answer 1

Answer:

Step-by-step explanation:

A = P(1 + r/2/(100)^2n is the relation among the four quantities P, r, n and A.

A=8000*(1+(5/2)/100)^2n

=8000*(205/200)^2

8405

So amount is 8405

CI =A- P

=8405-8000=405

Hence 405 is the interest

Answer 2

Answer: Rs. 205

Step-by-step explanation: To find compound interest simplest way is to find the simple interest first.

Therefore,

Simple Interest = Principal ×Rate of interest ×Time ( for which it is compounded ) / 100 .

S.I.= 8000×5×1/2×100

= 200

Therefore simple interest is Rs.200.

Now , Take amount as your principal to find interest for remaining half year.

Amount = Principal + Simple interest

= 8000+200

Therefore ; Principal for remaining half year is 8200 . Now find Simple Interest on it .

Simple Interest = Principal×Rate of Interest ×Time /100

= 8200×5×1/2×100

= 205

Now , This Rs.205 is compound interest on Rs.8000 for 1 year at rate of 5% which is compounded half yearly