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Factory P produces 20,000 bags of cement per day while factory Q produces 15,000 bags...

Mathematics
JAMB 1991

Factory P produces 20,000 bags of cement per day while factory Q produces 15,000 bags per day. If P reduces production by 5% and Q increases production by 5%, determine the effective loss in the number of bags produced per day by the two factories
  • A. 250
  • B. 750
  • C. 1000
  • D. 1250
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Correct Answer: Option A
Explanation
P produces 20,000 bags

P reduces production by 5%

i.e. reduction = \(\frac{5}{100}\) x \(\frac{20000}{1}\)

= 1000

Q produces 15000 bags

Q increases production by 5%

i.e. increase = \(\frac{5}{100}\) x \(\frac{15000}{1}\)

= 750

Effective loss by the two = 1000 - 750

= 250 bags

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