Question : Due to a fall in manpower, the production in a company decreases by 35%. By what percentage should the working hours be increased to restore the original production?
Option 1: 58.35%
Option 2: 55.83%
Option 3: 53.85%
Option 4: 55.38%
Correct Answer: 53.85%
Solution :
Let the original production be 100 units.
If the production decreases by 35%, it becomes 65 units.
To get original production, the increment should be = 100 – 65 = 35 units
$\therefore$ The percentage increase = $\frac{\text{Value to be increased}}{\text{Value after decrement}} \times 100= \frac{35}{65} \times 100 = 53.85\%$
Hence, the correct answer is 53.85%.
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