EIAT Percentages and Word Problems 5 — Questions and Answers
Question 1: An elevator pit is 4 feet deep and must be increased to 5.5 feet. What is the percentage increase in pit depth?
- 27.5%
- 30%
- 35%
- 37.5% (Correct answer)
Correct answer: 37.5%
(5.5 − 4) ÷ 4 × 100 = 1.5 ÷ 4 × 100 = 37.5%.
Question 2: A parts invoice shows: bearings $240, cable $580, controller $1,200. The company pays 65% and the customer pays the rest. How much does the customer pay?
- $602.00
- $707.00 (Correct answer)
- $714.00
- $721.00
Correct answer: $707.00
Total = $2,020; customer pays 35% = 0.35 × $2,020 = $707.00.
Question 3: A 3-phase motor draws 18 amps normally but surges to 27 amps at startup. What is the percentage increase during startup?
- 33%
- 40%
- 50% (Correct answer)
- 60%
Correct answer: 50%
(27 − 18) ÷ 18 × 100 = 9 ÷ 18 × 100 = 50%.
Question 4: A contract earns a 3% commission on a $94,000 installation. What is the commission amount?
- $2,520
- $2,820 (Correct answer)
- $2,920
- $3,020
Correct answer: $2,820
3% of $94,000 = 0.03 × $94,000 = $2,820.
Question 5: A technician works 40 regular hours and 6 overtime hours. Overtime is paid at 1.5× regular rate of $36/hr. What is total gross pay for the week?
- $1,656
- $1,764 (Correct answer)
- $1,800
- $1,844
Correct answer: $1,764
Regular: 40 × $36 = $1,440; Overtime: 6 × $54 = $324; Total: $1,440 + $324 = $1,764.
Question 6: A city requires elevators to pass inspection 90% of the time on the first attempt. Out of 150 inspections, how many are allowed to fail initially?
- 10
- 12
- 15 (Correct answer)
- 18
Correct answer: 15
10% may fail; 10% of 150 = 15 elevators.
Question 7: A counterweight saves 35% of motor energy by offsetting the car weight. If the motor normally uses 900 kWh per month, how many kWh does it use with the counterweight?
- 535 kWh
- 565 kWh
- 585 kWh (Correct answer)
- 620 kWh
Correct answer: 585 kWh
900 × (1 − 0.35) = 900 × 0.65 = 585 kWh.
EIAT Percentages and Word Problems 5
An elevator pit is 4 feet deep and must be increased to 5.5 feet.
What is the percentage increase in pit depth?