Due 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?

Question

Question

This question was previously asked in

SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 10 Jul, 2024 Shift 3)

Answer 1

Given:

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.

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