SOLUTION: A dealer bought a used car for $12600, repaired it and sold it for $18000, thus making a profit of 25%. How much did he spend on repairs?

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Question 1098579: A dealer bought a used car for $12600, repaired it and sold it for $18000, thus making a profit of 25%. How much did he spend on repairs?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
c, cost of repairs

12600%2Bc, total cost to dealer

%2818000-c-12600%29%2F%28c%2B12600%29=25%2F100

Solve for c.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!

The solution by the other tutor is valid; but I would not go that way....

If the dealer made a 25% profit, then the selling price is 125% of his total cost:

18000+=+1.25x
14400+=+x

If his total cost was $14,400 and he paid $12,600 for the car, then the amount he spent on repairs was 14400-12600+=+1800