Due to a reduction in workforce, the production in a factory decreases by 30%. By what percentage should the working hours per person be increased to restore the original production? (Correct to two decimal places.)
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 42.86%.
Concept used:
Production is inversely proportional to the working hours.
Calculations:
Let the production in the factory be 100x
After a 30% decrease in production, new production = 70x
Hence to restore the original production = 100x - 70x = 30x
Required percentage = (30x/70x) × 100 = 300/7 = 42.86%