Question

A sum taken 1 1/2 yrs at 8% per annum is compounded half yearly

Answer 1

When a sum is taken for 1 &1/2 yrs at 8% per annum compounded half-yearly then the rate of interest is 4% per half-year & the time period is 3 half-years.

Explanation:

We know that when the interest is compounded half-yearly then the given time period is doubled and the rate of interest is halved i.e., the time is multiplied by 2 and the interest is divided by 2.  

Here we are given  

The rate of interest, R = 8% p.a.

Time period, n = 1$\frac{1}{2}$ years = $\frac{3}{2}$ years

Since the interest has to be compounded half-yearly .

Therefore,

Rate of interest, R = $\frac{8}{2}$ = 4% per half-year

And,

Time period, n = 2 * $\frac{3}{2}$ = 3 half-years

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Answer 2

Answer:

R=8% p.a

T=1 1/2 years=3/2 years

R=8/2=4% per half - yearly

T=n=2×3/2= 3 half - yearly