Question

rajesh sold his scooter to rahim at 8% loss.rahim in turn sold this scooter to prem at a profit of 5%.if prem paid 14490 for scooter then find CP AND SP for both rajesh and rahim

Answer 1

we have
CP for prem=SP for rahim=14490
let CP for Rahim be x
SP for rahim=CP+5%of CP
14490=x+x/20
14490=21x/20
x=14490/21 × 20
then, use this value of x for next case
sp of rajesh = cp for rahim=x
let cp of rajesh be y
so,
x=y-8%×y
x=y-2y/25
x=23y/25
y=25x/23

SP for rahim=14490
cp for rahim =x =____
sp for rajesh=x=____
cp for rajesh=y=____

sorry for not giving the exact values
because I guess the process is unknown not the calculation

hope this is helpful

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.