Ratios, Rates & Percent Transitional Reasoning Download PDF

Questions

1. 1.

   At an estate auction, an antique painting sells for a winning hammer price of $4,000. The auction house charges the winning bidder a 15% buyer's premium on the hammer price, and a local 6% sales tax is added to the combined total of the hammer price and the buyer's premium. Meanwhile, the auction house deducts a 12% seller's commission from the hammer price before issuing the net payout to the seller. What is the difference between the total amount paid by the buyer and the net payout received by the seller?

   • A) $1,356
   • B) $1,320
   • C) $1,080
   • D) $1,428
2. 2.

   A manufacturing workshop purchases an energy-efficient machinery upgrade with a list price of $15,000. The manufacturer provides an immediate 20$280 each month on operating expenses. After accounting for all loan payments (principal plus interest) and the monthly operational savings, what is the workshop's net total expense for the upgrade over these 18 months?

   • A) $6,960
   • B) $8,085
   • C) $7,860
   • D) $9,540
3. 3.

   A customer purchases a new car with a sticker price of $32,000 and receives a trade-in credit on their old car equal to 35$450 is added to the final bill. What is the total cash amount the customer must pay to complete the purchase?

   • A) $22,464
   • B) $23,810
   • C) $22,914
   • D) $22,146
4. 4.

   An appliance technician provides an initial repair estimate of $360 for labor and$250 for replacement parts. Upon completing the job, the actual labor cost was 25% higher than estimated due to unexpected electrical complications, while the actual parts cost was 20% lower than estimated because of a trade discount. The local government levies a 7.5% sales tax on replacement parts only, with labor services remaining completely tax-exempt. What is the total final amount that the customer pays for the completed repair?

   • A) $665.00
   • B) $698.75
   • C) $650.00
   • D) $628.75
5. 5.

   A boutique clothing manufacturer produces 200 wool coats at a production cost of $75 per coat and applies a 60% markup to set the initial retail price. During the autumn season, the boutique sells 150 of these coats at the full retail price. At the end of the season, the boutique marks down the remaining coats by 30% off the retail price and sells all of them. What is the boutique's total gross profit from selling all 200 coats?

   • A) $5,625
   • B) $6,750
   • C) $7,200
   • D) $22,200
6. 6.

   A community library plans to upgrade its computer workstations and receives an equipment quotation of $9,600 from a technology supplier. The supplier offers Option A, which provides a 5$1,600 cash down payment with the remaining balance financed through a 15-month simple interest loan at an annual rate of 6%. How much less does the library pay in total under Option A than under Option B?

   • A) $520
   • B) $1,080
   • C) $1,200
   • D) $960
7. 7.

   A homeowner's residential property has a current market value of $320,000. In the homeowner's municipality, property tax is levied at an annual rate of 2.5% on an assessed value that is equal to 75% of the property's market value. The municipality offers a 4% prompt-payment discount on the total tax bill for residents who settle their account in full before the specified early deadline. If the homeowner pays the tax bill in full before the deadline, how much property tax do they pay?

   • A) $7,680
   • B) $5,760
   • C) $6,000
   • D) $6,240
8. 8.

   A tool distributor purchases a model of cordless drill at a wholesale cost of $80 per unit and applies a 60% markup to set its initial retail price. Toward the end of the season, the distributor places the remaining units on clearance at a price that still provides a 20% profit above the original wholesale cost. What percent discount off the initial retail price is applied to reach this clearance price?

   • A) 40%
   • B) 25%
   • C) 33.3%
   • D) 20%
9. 9.

   A community arts cooperative provides an artisan with a microloan of $6,000 to purchase workshop equipment. The artisan repays the loan in full over a term of 30 months through equal monthly payments of$230. What annual simple interest rate does the cooperative charge on this loan?

   • A) 5%
   • B) 7.5%
   • C) 15%
   • D) 6%
10. 10.

    A customer plans to buy a winter jacket with a regular price of $160 and hiking boots with a regular price of$100. She compares two store branches: Branch X offers a 25% discount on the total purchase subtotal and has a 7% local sales tax, whereas Branch Y keeps the jacket at full price, offers a 40% discount on the boots, and has a 5% local sales tax. If each branch applies its sales tax to the discounted subtotal, how much less does the customer pay in total at Branch X than at Branch Y?

    • A) $25.00
    • B) $22.35
    • C) $17.80
    • D) $2.85
11. 11.

    In a physics laboratory, a student calculates the theoretical final velocity of a rolling cart to be 4.5 meters per second, but a sensor records a measured velocity of 3.6 meters per second. In a second trial with a steeper track, the theoretical velocity is 6.0 meters per second, and the sensor records a measured velocity of 5.1 meters per second. What is the positive difference between the percent errors of the measurements in these two trials?

    • A) 0%
    • B) 9%
    • C) 15%
    • D) 5%
12. 12.

    A small business owner secures two separate simple interest loans to fund the purchase of commercial kitchen equipment. The first loan has a principal of $6,000 with an annual simple interest rate of 5$2,400 in interest across both loans over their full terms, what is the principal amount borrowed for the second loan?

    • A) $3,750
    • B) $4,200
    • C) $4,800
    • D) $5,000
13. 13.

    A sales representative earns a base monthly salary of $2,400 plus a 6$15,000. During one month, the representative achieves total sales of $38,000. From the total gross monthly earnings (base salary plus commission), a total of 15% is withheld for income tax and 5% is withheld for retirement contributions. What is the representative's net take-home pay for that month?

    • A) $3,024
    • B) $3,744
    • C) $3,213
    • D) $3,780
14. 14.

    A landscaping contractor purchases a commercial utility trailer priced at $18,000. The contractor pays a 25% down payment in cash and finances the remaining balance with a 3-year loan that charges an annual simple interest rate of 6%. If the total loan balance (principal plus interest) is repaid in equal monthly payments over the 3 years, what is the contractor's monthly payment?

    • A) $375.00
    • B) $397.50
    • C) $465.00
    • D) $442.50
15. 15.

    A group of four friends has a dinner subtotal of $120 at a restaurant. They apply a promotional coupon for 15$120 subtotal. If the four friends share the grand total equally, how much does each person pay?

    • A) $32.13
    • B) $32.94
    • C) $33.30
    • D) $36.54
16. 16.

    An electronics retailer purchases a tablet at a wholesale cost of $160 and applies a 75% markup to determine its regular sticker price. During a seasonal promotion, the store advertises a 30% discount off the sticker price, and customers paying with cash receive an additional 5% discount on the discounted promotional price. If a customer buys the tablet using cash, how much total profit does the store earn on this sale?

    • A) $22.00
    • B) $30.00
    • C) $36.00
    • D) $26.20
17. 17.

    A packaging facility calibrates an automated dispenser to fill containers with an intended mass of 450 grams of oats. During a quality assurance inspection, a technician measures a sample container and records an actual mass of 423 grams. Facility guidelines state that the dispenser requires recalibration if the percent error of a container exceeds the acceptable tolerance threshold of 5.5%. What is the percent error of this container, and does the dispenser require recalibration?

    • A) 6.0%, and the dispenser requires recalibration
    • B) 6.0%, and the dispenser does not require recalibration
    • C) 6.4%, and the dispenser requires recalibration
    • D) 5.4%, and the dispenser does not require recalibration
18. 18.

    Marcus deposits $1,500 into a savings account that earns a simple annual interest rate of 4.5$1,200 into another account earning a simple annual interest rate of 6.0%. If neither person makes any additional deposits or withdrawals for 3 years, how much more total money will Marcus have in his account than Leo at the end of that period?

    • A) $13.50
    • B) $216.00
    • C) $286.50
    • D) $313.50
19. 19.

    Elena wants to purchase a bicycle with a regular price of $240 at a sporting goods store. The store is offering a 20$250 gift card to pay for the complete purchase, how much money will remain on her gift card?

    • A) $40.00
    • B) $43.60
    • C) $46.00
    • D) $58.00