Given:
A dealer made a profit of 25% by selling a car for a 1000 naira.
To find:
The cost price of the car.
Solution:
Let x be the cost price of the car.
A dealer made a profit of 25% by selling a car. So, the selling price of the car is
[tex]S.P.=x+\dfrac{25}{100}x[/tex]
[tex]S.P.=x+0.25x[/tex]
[tex]S.P.=1.25x[/tex]
It is given that the selling price of the car is 1000. So,
[tex]1.25x=1000[/tex]
[tex]x=\dfrac{1000}{1.25}[/tex]
[tex]x=800[/tex]
Therefore, the cost price of the car is 800.
