Question

Anuj and Rajesh each lent the same sum of money for 2 years at 8% simple interest and compound interest respectively.
Rajest received Rs. 64 more than Anuj. Find the money lent by each and interest
received.


​

Answer 1

LET Imt by ball=$\frac{x \: rs.}{person}$

$interest \: covered \: by \: any = S.I = \frac{P×R×I}{100}$

$\frac{x \times 8 \times2 }{100} = \frac{16x}{100} rs.$

$\small{ interest \: earned \: by \: rajesh = amount - principal}$

$= x( \frac{ 1 + r}{100} {)}^{t} - x$

$= x( \frac{1 + 8}{100} {)}^{2} - x$

$x( \frac{108}{100} {)}^{2} - 1$

$x(0.1664)$

$diff. \: of \: interest = 0.1664x - 0.16x$

$= 0.0064x = 64$

$= \frac{64x}{1000} = 64$

$= > interest \: by \: anuj = 160rs.$

$= > interest \: by \: rajesh = 1664rs.$