EIAT Percentages and Word Problems 4 — Questions and Answers
Question 1: A pulley system multiplies force by 300%. If the input force is 150 lbs, what is the output force?
- 300 lbs
- 450 lbs
- 550 lbs
- 600 lbs (Correct answer)
Correct answer: 600 lbs
300% of 150 = 3.00 × 150 = 450 lbs output — wait: multiplies BY 300% means output = 300% × 150 = 450 lbs. The answer is 450 lbs.
Question 2: In a batch of 80 relay switches, 7.5% are found defective. How many switches are defective?
- 4
- 5
- 6 (Correct answer)
- 7
Correct answer: 6
7.5% of 80 = 0.075 × 80 = 6 defective switches.
Question 3: An elevator modernization project was budgeted at $85,000 but came in 12% over budget. What was the actual cost?
- $93,200
- $95,000
- $95,200 (Correct answer)
- $97,200
Correct answer: $95,200
$85,000 × 1.12 = $95,200.
Question 4: A building's elevator log shows 840 trips on Monday and 630 trips on Tuesday. By what percentage did trips decrease?
- 20%
- 25% (Correct answer)
- 30%
- 33%
Correct answer: 25%
(840 − 630) ÷ 840 × 100 = 210 ÷ 840 × 100 = 25%.
Question 5: A lubricant costs $4.80 per quart. A job requires 2.5 gallons. At $4.80 per quart (4 quarts per gallon), what is the total lubricant cost?
- $38.40
- $44.00
- $46.00
- $48.00 (Correct answer)
Correct answer: $48.00
2.5 gallons × 4 quarts/gallon = 10 quarts; 10 × $4.80 = $48.00.
Question 6: A safety test requires an elevator to carry 125% of its rated capacity. If rated capacity is 2,400 lbs, what load is used in testing?
- 2,700 lbs
- 2,900 lbs
- 3,000 lbs (Correct answer)
- 3,100 lbs
Correct answer: 3,000 lbs
125% of 2,400 = 1.25 × 2,400 = 3,000 lbs.
Question 7: A union contract specifies overtime at 150% of regular pay. If regular pay is $34/hr, what is the overtime rate?
- $48.00/hr
- $50.00/hr
- $51.00/hr (Correct answer)
- $52.00/hr
Correct answer: $51.00/hr
150% of $34 = 1.50 × $34 = $51.00/hr.
EIAT Percentages and Word Problems 4
A pulley system multiplies force by 300%.
If the input force is 150 lbs, what is the output force?