Find the amount of Rs. 406 for 18 months at 12 1/2 % per annum, the in

1.	Find the amount of Rs. 406 for 18 months at 12 1/2 % per annum, the interest being compounded semiannually.
Answer» Given, Principal = Rs.406 Time = 18 Months \(=\frac{18}{12}\) \(={1}\frac{1}{2}\) \(=\frac{3}{2}\times{2}\) = 3 half year Rate \(={12}\frac{1}{2}\text%\) per annum \(=\frac{25}{4}\text%\) half yearly So, \(={406}[({1}+\frac{25}{4\times100})^3]\) \(={406}(\frac{17}{16})^3\) \(=\frac{406\times4913}{4096}\) = Rs. 486.98 Amount = Rs.486.98

Find the amount of Rs. 406 for 18 months at 12 1/2 % per annum, the interest being compounded semiannually.

Answer»

Given,

Principal = Rs.406

Time = 18 Months \(=\frac{18}{12}\)

\(={1}\frac{1}{2}\) \(=\frac{3}{2}\times{2}\)

= 3 half year

Rate \(={12}\frac{1}{2}\text%\) per annum

\(=\frac{25}{4}\text%\) half yearly

So,

\(={406}[({1}+\frac{25}{4\times100})^3]\)

\(={406}(\frac{17}{16})^3\)

\(=\frac{406\times4913}{4096}\) = Rs. 486.98

Amount = Rs.486.98