Question

Rohit bought two scooters for rupees 18000 by selling one at a profit of 25% and the other at a loss of 20% in either gain nor loses find the cost price of each scooter​

Answer 1

Step-by-step explanation:

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 Rohit 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