Question
Download Solution PDFDue to decrease in manpower, the production in a factory decreases by 25%. By what per cent should the working hours be increased to restore the original production?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Due to decrease in manpower, the production in a factory decreases by 25%.
We need to find by what percent the working hours should be increased to restore the original production.
Concept:
To restore the original production, the product of manpower and working hours should remain constant.
Formula Used:
Let the original working hours be H and the increased working hours be H'.
Let the original production be P and the decreased production be 0.75P (since it decreased by 25%).
To restore the original production:
P = 0.75P × (H'/H)
Calculation:
We have,
⇒ 1 = 0.75 × (H'/H)
⇒ H'/H = 1/0.75
⇒ H'/H = 4/3
⇒ H' = 4H/3
Percentage increase in working hours:
⇒ [(4H/3) - H]/H × 100%
⇒ (4H - 3H)/(3H) × 100%
⇒ H/(3H) × 100%
⇒ 1/3 × 100
⇒ 33 (1/3)%
∴ The correct answer is option 1.
Last updated on May 28, 2025
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