Question

the S.P. and the C.P. of scooter for Rajesh

Answer 1

Given, for Rahim
$S.P=Rs14,490$
Gain $=5$ %
Now, with this S.P. and for Profit % $=\frac{S.P.-C.P.}{C.P.}\times 100=5$ %

$=>\frac{14,490-C.P.}{C.P.}\times 100=5$

$=>14,490-C.P.=0.05C.P.$
$1.05C.P.=14,490$
$=>C.P.=Rs13,800$
This, $Rs13,800$ is the S.P for Rajesh as Rajesh sold the scooter to Rahim.
So, Loss % $=\frac{C.P.-S.P.}{C.P.}\times 100=8$

$=>\frac{C.P.-13,800}{C.P}\times 100=9$
$=>C.P.-13,800=0.09C.P.$
$=>0.92C.P=13,800$
$=>C.P.=Rs15000$
Thus for Rajesh, $C.P.=Rs15,000$ and $S.P.=Rs13,800$