Question

For the calculation of compound interest half yearly

(a) the annual rate is doubled and the number of years is halved.
(b) double the rate as well as the given number of years.
(c) half the rate and double the number of years.
(d) half the rate as well as the number of years.
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Answer 1

Step-by-step explanation:

Q :-

For the calculation of compound interest half yearly

(a) the annual rate is doubled and the number of years is halved.

(b) double the rate as well as the given number of years.

(c) half the rate and double the number of years.

(d) half the rate as well as the number of years.

A :-

(d) half the rate as well as the number of years.

explanation :-

the correct answer is option (d)

when intrest is compounded half- yearly , then

$t = 2t \: = 2n$

Now, the amount will be

$a = p( \frac{1 + r}{200} ) {}^{2n}$

$therefore \: \: c = a - p$