Question

Sudheer and rupees 2000 at compound interest at 10% payable early by Prashanth client rupees 2000 and compound interest at 10% payable half-yearly find the difference in the interest received by sudhir and Prashanth at the end of 1 years

Answer 1

sudhir intrest →
P= 2000
T= 1 year
R= 10%$s.i = \frac{2000 \times 10 \times 1}{100}$
s.i = ₹200

Prashant intrest →
P= 2000
R= 10% half yearly = 5%
T= 2
$a \: = p(1 \ + \frac{r}{100} ) ^n \\ a = 2000(1 \ + \frac{5}{100} )^{2} \\ a = 2000 (\frac{105}{100} )^{2} \\ 2000( \frac{105}{100} \times \frac{105}{100 } \\ = 2205$
C.I = 2205-2000
=205
difference = 205-200
=₹5