If the units produced by a factory increased by 10% and the labor productivity increased by 25%,then the labor hours __________.
A)decreased by 15%
B)decreased by 13%
C)decreased by 12%
D)decreased by 11%

Question

Quizplus · Accepted Answer

Let's assume that before the increase, the factory produced 100 units and took 100 hours of labor. After the increase, the factory produced 110 units and labor productivity increased by 25% (i.e., it took 75% of the earlier time). So, the new labor hours would be:
100 hours * 75/100 = 75 hours
This means that labor hours decreased by 25/100 * 100/75 * 100 = 33.33...%
Now, let's look at the answer choices:
A) Decreased by 15% - Not the correct answer as we just calculated the decrease to be 33.33..%
B) Decreased by 13% - Not the correct answer as we just calculated the decrease to be 33.33..%
C) Decreased by 12% - Correct answer as the decrease in labor hours is approximately 33.33%, which is closest to 12%.
D) Decreased by 11% - Not the correct answer as we just calculated the decrease to be 33.33..%

If the Units Produced by a Factory Increased by 10