Question

Find the compound interest and the amount on Rs 25000 at 4 % p. a. for 1 year when interest is compounded half-yearly

Answer 1

Step-by-step explanation:

Answer: Rs. 3121.6

Step-by-step explanation:

Given

Principle = Rs 25000

The interest is compounded annually

Therefore

Rate ; R= \dfrac{8}{2} = 4\%

2

8

=4%

Time : t = 1\dfrac{1}{2} \times 2 = 3 years1

2

1

×2=3years

Now as we know

\begin{gathered}A=P(1+\dfrac{R}{100} )^t= 25000(1+\dfrac{4}{100} )^3\\\\=25000\times \dfrac{104}{100} \times \dfrac{104}{100} \times \dfrac{104}{100} = Rs. 28121.6\end{gathered}

A=P(1+

100

R

)

t

=25000(1+

100

4

)

3

=25000×

100

104

×

100

104

×

100

104

=Rs.28121.6

C.I. = amount - principle =28121.6- 25000= Rs. 3121.6

Hence , the compound interest is Rs. 3121.6

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