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In a factory there are three types of Machines M1,M2 and M3 which produce 25%, 35% and 40% of the total products, respectively. M1,M2 and M3 produce 3%, 4% and 5% defective products, respectively. What is the percentage of non -defective products?

In a factory there are three types of Machines M1,M2 and M3 which produce 25%, 35% and 40% of the total products, respectively. M1,M2 and M3 produce 3%, 4% and 5% defective products, respectively. What is the percentage of non -defective products? Correct Answer 95.85%

Given:

Production of machine M1, M2 and M3 = 25%, 35% and 40%

Defective products by machine M1, M2 and M3 = 3%, 4% and 5%

Calculation:

Let the total production is 100 units

Production by machine M1 = 25% of 100

⇒ 25

Production by machine M2 = 35% of 100

⇒ 35

Production by machine M3 = 40% of 100

⇒ 40

Non- defective product by machine M1 = 97% of 25 

2⇒ 4.25      ---- (1)

Non defective product by machine M2 = 96% of 35

⇒ 33.6      ---- (2)

⇒ Non defective product by machine M3 = 95% of 40

38      ---- (3)

Adding 1, 2 and 3

24.25% + 33.6% + 38%

⇒ 95.85%

∴ The percentage of non -defective products is 95.85%.

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