Due to reduction in workforce the production in a factory decreases by 30 By what percentage should ...........

Quantitative Aptitude (MTS) Percentage

Due to 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.)

This questions was previously asked in

SSC MTS 21st July 2022 Shift-2

43.35%

42.86%

37.75%

40%

- The factory's production decreases by 30% due to a workforce reduction.

- To restore original production, the decrease must be made up by increasing working hours per person.

- If production is decreased by 30%, only 70% of the original production level is being achieved now.

- Working hours must increase by a percentage so that they cover the shortfall back to 100% production.

Calculation:

- Let x be the percentage increase in working hours needed.

- \( 1.00 \times (1 + \frac{x}{100}) = \frac{100}{70} \)

- Solving gives \( x = \frac{30}{70} \times 100 \approx 42.86\% \)

- Option 2: 42.86% is correct. This is the required percentage increase in working hours to restore production.

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