Question

11 Rohit bought two scooters for Rs 18000. By selling one at
profit of 25% and the other at a loss of 20%. He neither
gains nor loses. Find the cost price of each scooter.​

Answer 1

Let the C.P. of the 1
st
scooter = Rs. x.
Then, C.P. of the 2
nd
scooter = Rs. (18000−x)
S.P. of 1
st
scooter = Rs. x×
100
125
​
= Rs.
4
5x
​

S.P. of 2
nd
scooter = Rs. (18000−x)×
100
80
​
= Rs.
5
4
​
(18000−x)
Since Mohan neither gains nor loses, his total S.P. = Total C.P.
⇒
4
5x
​
+
5
4
​
(18000−x)=18000
⇒
4
5x
​
−
5
4x
​
=18000−14400=3600
⇒
20
25x−16x
​
=3600⇒9x=3600×20
⇒x=
9
3600×20
​
=8000
∴ C.P. of 1
st
scooter = Rs. 8000
C.P. of 2
nd
scooter = Rs. 10,000.