- A store offers a loyalty program where customers earn 2.5% cash back on purchases. If a customer's cash back earnings represent $37.50, and they want to use this amount toward a purchase that costs 150% of their cash back earnings, how much additional money do they need to pay?
Answer: $18.75
The purchase costs 150% of $37.50 = $37.50 × 1.50 = $56.25. Since the customer can use their $37.50 in cash back, they need to pay an additional $56.25 - $37.50 = $18.75. Choice B represents 50% of the cash back amount but isn't the correct additional amount needed. Choice C suggests they need to pay the full cash back amount additionally. Choice D represents the total purchase price, not the additional amount needed.
- A basketball player's free throw percentage improved from 72% to 81% over the course of a season. By what percent did her free throw percentage increase?
Answer: 12.5%
The percentage point increase is 81% - 72% = 9 percentage points. The percent increase is calculated as (9 ÷ 72) × 100% = 12.5%. Choice A gives the percentage point difference, not the percent increase. Choice B incorrectly uses 81 as the denominator instead of 72. Choice D uses an incorrect calculation method entirely.
- A library charges a late fee equal to 8% of a book's replacement cost for each day it's overdue. If a book worth $25 is returned 3 days late, and the borrower pays with two $20 bills, how much change should they receive?
Answer: $34.00
Late fee per day: $25 × 0.08 = $2.00. Total late fee for 3 days: $2.00 × 3 = $6.00. Amount paid: $40. Change: $40 - $6 = $34. Choice B incorrectly calculates the daily fee as $25 × 0.08 ÷ 3. Choice C uses a 6% daily rate instead of 8%. Choice D calculates 8% of $25 as the total fee regardless of days.
- A school's enrollment decreased by 12% from last year to this year, resulting in 440 students. Next year, the school expects enrollment to increase by 15% from this year's number. How many students will be enrolled next year?
Answer: 506
This year's enrollment is 440 students. Next year's increase: 440 × 0.15 = 66 students. Next year's enrollment: 440 + 66 = 506 students. Choice B incorrectly calculates last year's enrollment first and then applies the 15% increase to that. Choice C uses a 19% increase instead of 15%. Choice D applies a 15% increase to last year's enrollment figure.
- A clothing store marks up all items by 40% from their wholesale cost. During a sale, they offer a 25% discount off the marked price. If an item has a wholesale cost of $60, what is the final sale price after the discount?
Answer: $63.00
First, calculate the marked price: $60 × 1.40 = $84. Then apply the 25% discount: $84 × 0.75 = $63. The final sale price is $63.00. Choice B incorrectly applies a 15% discount instead of 25%. Choice C applies no discount to the marked price. Choice D adds the markup and discount percentages instead of applying them sequentially.
- A recipe calls for 2.4 cups of flour, but Jenny only has 65% of the amount needed. She borrows 30% of the required amount from her neighbor. What percent of the required flour does Jenny now have?
Answer: 95%
Jenny has 65% of the required flour initially. She borrows 30% more of the required amount. Total: 65% + 30% = 95% of the required flour. Choice A subtracts instead of adding the borrowed amount. Choice C incorrectly calculates 30% of what Jenny has rather than 30% of what's required. Choice D adds 65% and 30% then multiplies by some factor.
- Maria's monthly salary increased from $3,200 to $3,680. If she receives another raise that is 75% as large as her first raise, what will her new monthly salary be?
Answer: $4,160
First raise: $3,680 - $3,200 = $480. Second raise is 75% of $480: $480 × 0.75 = $360. New salary: $3,680 + $360 = $4,160. Choice A incorrectly calculates 75% of the original salary increase as a percentage. Choice C uses 125% of the first raise instead of 75%. Choice D adds 75% of the new salary instead of 75% of the raise amount.
- At a school fundraiser, 40% of the money raised came from ticket sales, and the rest came from donations. If donations totaled $1,800, what was 15% of the total money raised?
Answer: $450
If 40% came from tickets, then 60% came from donations. Since donations = $1,800 and this represents 60% of the total, the total raised = $1,800 ÷ 0.60 = $3,000. 15% of $3,000 = $450. Choice A calculates 15% of the donations only. Choice B uses an incorrect total based on treating donations as 40% instead of 60%. Choice D calculates 18% of the total instead of 15%.
