Question

Find the amount which Ram will get on Rs 4096 if he gave it for (3)

18 months at
$12 \frac{1}{2}$




% per annum interest being compounded half yearly​

Answer 1

Solution:

Here, Principal (P) = Rs. 4096,

Rate of Interest (R) = 12\ \frac{1}{2}=\frac{25}{2}\%=\frac{25}{4}\%12

2

1

=

2

25

%=

4

25

% (compounded half yearly)

Time (n) = 18 months = 1\ \frac{1}{2}1

2

1

years = 3 years (compounded half yearly)

Amount (A) = P\left(1+\frac{R}{100}\right)^nP(1+

100

R

)

n

= 4096\left(1+\frac{25}{4\times100}\right)^34096(1+

4×100

25

)

3

= 4096\left(1+\frac{1}{4\times4}\right)^34096(1+

4×4

1

)

3

= 4096\left(\frac{17}{16}\right)^34096(

16

17

)

3

= 4096\times\frac{17}{16}\times\frac{17}{16}\times\frac{17}{16}4096×

16

17

×

16

17

×

16

17

= Rs. 4913

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