AlgebraHardCost price behind a markup and a discount
Algebra practice question
A shop marks a coat up by 25% above its cost price and later sells it at 20% off the marked price, for $96. What was the coat's cost price, in dollars?
Answer: 96
1.25c × 0.8 = c, so the selling price equals the cost price: $96.
Common wrong answers
- If you answered 100
- 100 assumes the two percentages cancel to leave a 4% gain.
- If you answered 120
- 120 adds 25% to 96.
- If you answered 76.8
- 76.8 takes 20% off 96 as if 96 were the marked price.
More Algebra questions
- Hard
For how many integer values of x is −2 < (x − 5)/3 ≤ 1 true? - Hard
The system 2x + 3y = 6 and 4x + 6y = k has infinitely many solutions. What is the value of k? - Hard
Which of the following is the complete solution set to |x − 4| < 6? - Hard
A student has $40 to spend on notebooks costing $4 each and pens costing $2 each, and wants at least 12 items … - Hard
What is the least whole number of minutes of international calling in a month for which the total monthly cost… - Hard
How many liters of the 30% acid solution did the technician use?
Not affiliated with the College Board. SAT is a trademark of the College Board.