Question

Question 9

For calculation of interest compounded half-yearly, keeping the principal same, which one of the following is true?
(a) Double the given annual rate and half the given number of years
(b) Double the given annual rate as well as the given number of years
(c) Half the given annual rate as well as the given number of years
(d) Half the given annual rate and double the given number of years

Answer 1

If interest is compounded half-yearly, then $R=\frac{R}{2}$ and T = 2T = 2n.
Now, the amount will be
$A=P{(1+\frac{R}{200})}^{2n}\therefore C=A-P$
So, half the given annual rate and double the given number of years.