Question

11. 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 * 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

Step-by-step explanation:

Let C.P. of the scooter for Rajesh = Rs. 100 x

S.P. for Rajesh = (100x × 92)/100 = 92x

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

∴ S.P. for Rahim = (92x × 105)/100

= (92x × 21)/20 = (46x × 21)/10 = 966x/10

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

∴ 966x /10 = 14,490

⇒ x = 14490/966 × 10 = 14490/483 × 5 = 30 × 5 = 150

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

= Rs. 13800

S.P. of scooter for Rahim = 966x/10 = 966/10 × 150

= Rs. 966 × 15 = Rs. 14490

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

= Rs. 15000

S.P. of scooter for Rajesh = 92x = 92 × 150 = Rs. 13800

Answer 2

Given :

→ Raj sold his scooter to rahim at 8% loss and Rahim in turn sold the same scooter to prem at 5% gain. If prem paid ₹14490 for the scooter.

Find :

(a) The S.P and C.P of the scooter for Rahim.

(b) The S.P and C.P of the scooter for Raj.

Using formula :

★ C.P = 100/(100 + Profit℅) S.P

Calculation :

= 100/(100 + 5) 14490

= 13800

Hence, 13800 would be the cost price of Rahim.

= 100/(100 - 8) 13800

= 15000

→ hence, 15000 would be the cost price of Raj.

Therefore ,

→ CP, SP of Rahim: 13800, 14900.

→ CP, SP of Raj: 15000, 13800.