P sells a Laptop to Q at a loss of 25% and Q sells the laptop to R at a profit of 20%. If R purchased the laptop for ₹22,500, then what was the cost (in ₹) of the laptop for P?
- A23800
- B24800
- C25000
- D23200
Solution & Step-by-step Explanation
Let the cost price of the laptop for P be ₹x.
P sells to Q at 25% loss:
Cost Price for Q=x×(1−
100
25
)=0.75x
Q sells to R at 20% profit:
Cost Price for R=0.75x×(1+
100
20
)=0.75x×1.2=0.9x
We are given that R paid ₹22,500:
0.9x=22500
x=
0.9
22500
=25000
P sells to Q at 25% loss:
Cost Price for Q=x×(1−
100
25
)=0.75x
Q sells to R at 20% profit:
Cost Price for R=0.75x×(1+
100
20
)=0.75x×1.2=0.9x
We are given that R paid ₹22,500:
0.9x=22500
x=
0.9
22500
=25000