Question

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

Answer 1

let say the c.p is x
Raj sold his scooter to rahim at 8% loss, so {x-(8% of X) = (23x)/(25)

rahim in turn sold the same scooter to prem at 5%,
now lets say rahim brought the scooter at price y
and sold it by 5% gain so, y+(5% of y)= 21y/20

prem paid ₹14490 so the eq is


(21y/20) = 14490 
y=13800ruees

and as we can see, y=(23x)/(25)=13800 rupees    so

x=15000

find the x which will be the c.p and then put the value of x on (23x)/(25) to get the sell price.

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.