Question 19

In a stockpile of products produced by three machines M1, M2 and M3, 40% and 30% were manufactured by M1 and M2 respectively. 3% of the products of M1 are defective, 1% of products of M2 defective, while 95% of the products of M3 are not defective. What is the percentage of defective in the stockpile?

Name: In a stockpile of products produced by three machines M1, M2 and M3, 40% and 30% were manufactured by M1 and M2 respectively. 3% of the products of M1 are defective, 1% of products of M2 defective, while 95% of the products of M3 are not defective. What is the percentage of defective in the stockpile?
Uploaded: 2021-11-09T19:00:52.656382+05:30
Duration: 1 min 41 s
Description: In a stockpile of products produced by three machines M1, M2 and M3, 40% and 30% were manufactured by M1 and M2 respectively. 3% of the products of M1 are defective, 1% of products of M2 defective, while 95% of the products of M3 are not defective. What is the percentage of defective in the stockpile?

Solution

Let's say total products maufactured by M1, M2 and M3 are 100.
So M1 produced 40, M2 produced 30 and M3 produced 30
Defective pieces for M1 = $$\frac{120}{100}$$
Defective pieces for M2 = $$\frac{30}{100}$$
Defective pieces for M3 = $$\frac{150}{100}$$
So total defective pieces are $$\frac{150+30+120}{100}$$ = $$\frac{300}{100}$$ = 3% of total products.

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