BSEP Arithmetic Reasoning Word Problems 5 — Questions and Answers
Question 1: A store marks up its products by 40% above the cost price. If an item costs the store $85, what is the selling price?
- $119 (Correct answer)
- $125
- $127.50
- $102
Correct answer: $119
40% of $85 = $34; $85 + $34 = $119 selling price.
Question 2: A swimming pool holds 15,000 gallons. If the pool is currently 60% full and water fills at 250 gallons per hour, how many hours to fill it completely?
- 24 hours (Correct answer)
- 36 hours
- 60 hours
- 30 hours
Correct answer: 24 hours
40% of 15,000 = 6,000 gallons needed; 6,000 ÷ 250 = 24 hours.
Question 3: Anna scored 85, 92, 78, and 95 on four tests. What score does she need on a fifth test to have an average of 88?
- 90 (Correct answer)
- 88
- 85
- 92
Correct answer: 90
Target total = 88 × 5 = 440; current total = 350; needed score = 440 − 350 = 90.
Question 4: A telephone plan charges $0.05 per minute for the first 100 minutes and $0.03 per minute after that. What is the cost of a 180-minute call?
- $7.40 (Correct answer)
- $6.40
- $9.00
- $5.40
Correct answer: $7.40
First 100 min: 100 × $0.05 = $5.00; next 80 min: 80 × $0.03 = $2.40; total = $7.40.
Question 5: A 12-ounce bottle of juice costs $1.44. A 20-ounce bottle costs $2.20. Which is the better value per ounce?
- The 20-ounce bottle (Correct answer)
- The 12-ounce bottle
- Both are equal
- Cannot be determined
Correct answer: The 20-ounce bottle
12-oz: $1.44 ÷ 12 = $0.12/oz; 20-oz: $2.20 ÷ 20 = $0.11/oz — the 20-oz bottle is cheaper per ounce.
Question 6: A map uses a scale of 1 inch = 50 miles. If two cities are 3.5 inches apart on the map, what is the actual distance between them?
- 175 miles (Correct answer)
- 150 miles
- 200 miles
- 125 miles
Correct answer: 175 miles
3.5 inches × 50 miles per inch = 175 miles.
Question 7: A salesperson earns a base salary of $1,500 per month plus a 5% commission on all sales. If she sells $18,000 worth of products, what is her total monthly income?
- $2,400 (Correct answer)
- $2,700
- $2,100
- $1,900
Correct answer: $2,400
Commission = 5% × $18,000 = $900; total = $1,500 + $900 = $2,400.
BSEP Arithmetic Reasoning Word Problems 5
A store marks up its products by 40% above the cost price.
If an item costs the store $85, what is the selling price?