Question

what sum will become rupees 9826 in 18 months if the rate percent is 2 1/2% per annum compounded half yearly

Answer 1

Answer:

Future value(A)=9826 time(t) = 18 months (1.5 years)

rate of interest(r)= 5% p.a compounded annually.

present vale(P)=?

A=P(1+r)^t

9826=P(1+5%)^1.5

P=9132.56. Ans

Answer 2

The principal is Rs.9466.548

Step-by-step explanation:

Amount = Rs.9826

Let the principal be x

Rate of interest = $2\frac{1}{2}\%=\frac{5}{2}\%$

No. of compounds per year = 2

Time = 18 months =$\frac{18}{12}=1.5 years$

Formula :$Amount =P(1+\frac{r}{n})^{nt}$

Where P is the Principal

r = rate of interest

n = no. of compounds

t = time

Substitute the values in the formula :

$9826=x(1+\frac{5}{200 \times 2})^{2 \times 1.5}\\\frac{9826}{(1+\frac{5}{200 \times 2})^{2 \times 1.5}}=x\\9466.548=x$

Hence The principal is Rs.9466.548

#Learn more:

What sum will become ₹4913 in 3/2 years, if the rate of interest is 25/2 per annum compounded half-yearly.​

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