Question

(e) 10,000 for 1 year at 8% per annum compounded half yearly. ​

Answer 1

Step-by-step explanation:

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Answer 2

• As per the data given in the question, we have to find the value of the expression.

          Given data:- $10,000$ for a $1$ year at $8\%$ per annum compounded half-year.

          To find:- Value of given expression=?

          Solution:-

• The formula of the final amount is

               $A=P\left(1+\frac{r}{n}\right)^{n t}.$

             Here,

             A = final amount.

             P = initial principal balance.

             r = interest rate.

            n= number of times interest applied per time period.

            t= number of time periods elapsed.

           Therefore,

         $\text { Principal }(P)=\text { Rs } 10,000\\\text { Rate }=8 \% \text { per annum or } 4 \% \text { per half year }\\\text { Number of years }=1 \text { year }\\\text { There are } 2 \text { half years in } 1 \text { year. }\\\mathrm{A}=P\left(1+\frac{R}{100}\right)^{n}\\=R s\left[10000\left(1+\frac{4}{100}\right)^{2}\right]=R s\left[10000\left(1+\frac{4}{100}\right)^{2}\right]=R s\left[10000\left(1+\frac{1}{25}\right)^{2}\right] \\=Rs. 10816\\\text { C.I. }=A-P\\=Rs. 10816-Rs 10000\\=Rs. 816.$

            Hence we will get the half-year$Rs.816.$