In a company, there are 75% skilled workers and remaining ones are unskilled. 80% of skilled workers and 20% of unskilled workers are permanent. If number of temporary workers is 126, then find the number of total workers.
Correct Answer: Option D
Let the total number of workers be ‘x’, then according to the question,
Skilled workers = 75% of x
Unskilled workers = (100-75)% = 25% of x,
Permanent workers = 20% of unskilled workers + 80% of skilled workers
= 20% of 25% of x + 80% of 75% of x
= x × (20/100) × (25/100) + x × (80/100) × (75/100)
= x {0.05 + 0.6} = 0.65x
According to the question, remaining workers are temporary whose number is 126,
⇒ (1 - 0.65)x = 126
⇒ 0.35x = 126
⇒ x = 126/0.35 = 360
Hence, the required number of workers is 360.
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