Question

Rajesh sold his scooter to Rahim at 8% loss and Rahim, in turn, sold the same scooter to Prem at 5% gain. If Prem paid Rs. 14,490 for the scooter; find :
(i)the S.P. and the C.P. of the scooter for Rahim.
(ii) the S.P. and the C.P. of the scooter for Rajesh.

Answer 1

Let C.P. of the scooter for Rajesh Rs. 100 x
S.P. for Rajesh = $\frac{100x\times 92}{100}$ = 92x
This will be C.P. for Rahim = 92x, Gain = 5%
$\therefore$ S.P. for Rahim = $\frac{92x\times 105}{100}$
= $\frac{92x\times 21}{20}=\frac{46x\times 21}{10}=\frac{966x}{10}$
This will be C.P. for Prem = Rs. 14,490
$\therefore \frac{966x}{10}=14,490$
$\Rightarrow x=\frac{14490}{966}\times 10=\frac{14490}{483}\times 5=30\times 5=150$
(i)C.P. of scooter for Rahim = 92x = 92 $\times$ 150
= Rs. 966 $\times$ 15 = Rs. 14490
(ii) $\therefore$ C.P. of Scooter for Rajesh = 100x = 100 $\times$ 150
= Rs. 15000
S.P. of Scooter for Rajesh = 92x = Rs. 92 $\times$ 150
= Rs. 13800