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 =`(100"x"xx92)/100=92"x"`

This will be C.P. for Rahim = 92x, Gain = 5%

∴ S.P. for Rahim =`(92"x"xx105)/100`

`=(92"x"xx21)/20=(46"x"xx21)/10=(966"x")/10`

This will be C.P. for Prem = Rs. 14,490

∴`(966"x")/10=14,490`

`⇒"x"=14490/966xx10=14490/483xx5=30xx5=150`

(i) C.P. of scooter for Rahim = 92x = 92 × 150

= Rs. 13800

S.P. of scooter for Rahim =`(966"x")/10=966/10xx150`

= Rs. 966 × 15 = Rs. 14490

(ii) ∴ C.P. of Scooter for Rajesh = 100x = 100 × 150

= Rs. 15000

S.P. of scooter for Rajesh = 92x = Rs. 92 × 150

= Rs. 13800