AlgebraVery hardCost price from a mark-up and a sale
Algebra practice question
A shop marks up a coat by 40 percent above its cost, then sells it in a sale at 20 percent off the marked price for 84 dollars. What was the shop's cost for the coat, in dollars?
Answer: 75
The sale price is 1.40 × 0.80 = 1.12 times the cost, so 1.12c = 84 and c = 75.
Common wrong answers
- If you answered 60
- 60 divides 84 by 1.40 and stops.
- If you answered 70
- 70 uses a net 20 percent mark-up.
- If you answered 105
- 105 divides 84 by 0.80 and stops.
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