Question

Find interest on 5000 at 12% per annum
for 1 years if the interest is compounded
semi-annually.​

Answer 1

Answer:

Hi.  

Good Question and Keep Progressing.

Here is your answer---

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Given---

Principal(P) = Rs. 5000

Rate(r%) =  12%

Time(n) = 1 year.

According to the question, Interest is compounded half-yearly.

Using the Formula,

     

       A  = P [ 1 + r%/100]^2n    [Since, Interest is compounded Half-yearly]

       A  = 5000[ 1 + 12/100]^2(1)

       A  = 5000[ 112/100]^2

       A  = 5000[ 53/50]^2

       A  = Rs. 5618

Using the formula,  

 

        Amount =Compound Interest + Principal.

   

            5618 = Compound Interest + 5000

            Compound Interest = 5618 - 5000

 

             Compound Interest = Rs. 618

Thus, the Compound Interest is Rs. 618.

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Hope it helps.

Have a nice day.

Step-by-step explanation:

Answer 2

Given:

principal = ₹5000

rate = 12 %

Find = interest if it is compounded half yearly

there are 12 months In year so 6 months will be

2 quarter .

n(time) = 2

CI ( amount) p(1+r/100)ⁿ

CI( amount) = 5000 ( 106/100)²

CI (amount) = 5000×(53/50)²

CI (amount) = 5000 × 53/50 × 53/50

CI (amount) = 2 × 53 × 53 = 5618

and CI = 618.