PSAT Math Multiple-Choice Practice Question 382
Question: 382
A store starts a sale to attract more customers. Mandy notices in the newspaper that the store has comforters on sale for 40 percent less than the original price. If Mandy pays $89.10 after the discount and a 10 percent sales tax on the discounted price, what is the original price of the comforter?
Correct Answer: B
Explanation:
B
Difficulty: Hard
Category: Percent Change
Getting to the Answer: Set up an equation with the original price having the variable C. Instead of subtracting the 40% discount, use the complement and multiply by that: 100% - 40% = 60% = 0.6, so the discounted price is 0.60C. The sales tax is a percentage of this discounted price, so multiply by 100% + tax (10%) = 110% = 1.1, which gives 1.1(0.60C). This amount should equal what Mandy actually paid: 1.1(0.60C) = 89.10. Solve for C:
Thus, (B) is correct. You could also solve this question using Backsolving.
More Tests
- PSAT Math Multiple-Choice Test 1
- PSAT Math Multiple-Choice Test 2
- PSAT Math Multiple-Choice Test 3
- PSAT Math Multiple-Choice Test 4
- PSAT Math Multiple-Choice Test 5
- PSAT Math Multiple-Choice Test 6
- PSAT Math Multiple-Choice Test 7
- PSAT Math Multiple-Choice Test 8
- PSAT Math Multiple-Choice Test 9
- PSAT Math Multiple-Choice Test 10
- PSAT Math Multiple-Choice Test 11
- PSAT Math Multiple-Choice Test 12
- PSAT Math Multiple-Choice Test 13
- PSAT Math Multiple-Choice Test 14
- PSAT Math Multiple-Choice Test 15
- PSAT Math Multiple-Choice Test 16
- PSAT Math Multiple-Choice Test 17
- PSAT Math Multiple-Choice Test 18
- PSAT Math Multiple-Choice Test 19
- PSAT Math Multiple-Choice Test 20
- PSAT Math Multiple-Choice Test 21
- PSAT Math Multiple-Choice Test 22
- PSAT Math Multiple-Choice Test 23
- PSAT Math Multiple-Choice Test 24
- PSAT Math Multiple-Choice Test 25