CFAT Problem Solving: Word Problems 3 — Questions and Answers
Question 1: A store reduces a $120 item by 15%. What is the sale price?
- $96
- $100
- $102 (Correct answer)
- $108
Correct answer: $102
Discount = 0.15 × $120 = $18; sale price = $120 − $18 = $102.
Question 2: In a unit of 80 soldiers, 35 are officers. What percentage are officers?
- 35.5%
- 40%
- 43.75% (Correct answer)
- 45%
Correct answer: 43.75%
35 ÷ 80 × 100 = 43.75%.
Question 3: A map uses a scale of 1:50,000. Two towns are 8 cm apart on the map. What is the actual distance in km?
- 2 km
- 4 km (Correct answer)
- 5 km
- 6.25 km
Correct answer: 4 km
8 × 50,000 = 400,000 cm = 4,000 m = 4 km.
Question 4: The ratio of fuel in two tanks is 3:5. If the smaller tank holds 45 liters, how much fuel is in the larger tank?
- 60 liters
- 65 liters
- 75 liters (Correct answer)
- 80 liters
Correct answer: 75 liters
3 parts = 45 L, so 1 part = 15 L; larger tank = 5 × 15 = 75 L.
Question 5: After a 20% pay increase, a salary becomes $3,600. What was the original salary?
- $2,800
- $2,880
- $3,000 (Correct answer)
- $3,200
Correct answer: $3,000
Original = $3,600 ÷ 1.20 = $3,000.
Question 6: Three recruits share a prize in the ratio 2:3:5. If the total prize is $4,000, how much does the recruit with the largest share receive?
- $1,200
- $1,600
- $2,000 (Correct answer)
- $2,400
Correct answer: $2,000
Total parts = 10; largest share = 5/10 × $4,000 = $2,000.
Question 7: A vehicle uses 8 liters of fuel per 100 km. How many liters are needed for a 350 km trip?
- 24 liters
- 26 liters
- 28 liters (Correct answer)
- 30 liters
Correct answer: 28 liters
350 × (8 ÷ 100) = 28 liters.
CFAT Problem Solving: Word Problems 3
A store reduces a $120 item by 15%.
What is the sale price?