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75% of our 1000 products are shipped on time each month the remainder have defects that take two weeks to fix and ship our clients complain about 10% of the anti-products are defective and 5% of the product shipped late or defective what is the overall percentage of defective products

1 Answer

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The number of products shipped on time is 75% of 1000 = 750
The number of products shipped late is 25% of 1000 = 250

The number of defective product from the products that shipped on-time is 10% of 750 = 75

The number of defective product from the products that shipped late is 5% of 250 = 12.5

The total number of defective products is 75+12.5 = 87.5.

This is 87.5 out of 1000 products and as percentage it's
(87.5)/(1000)=0.0875×100 = 8.75%

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