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New machine has productivity (measured in the number of product details) 12% greater than the last model . After replacing the machines during renovation ,a plant has 5% fewer models than it had old models before. By what percent did the number of product details on this plant change?



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Solution

Let x the original productivity

With the first case the new productivity would be:

1.12 x

After the second case the new productivity is given by:

(1-0.05)* 1.12x = 1.064x

Then the increase can be founded on tihis way:

[tex]\frac{1.064x}{x}\cdot100=6.4[/tex]

the number of product details on this plant change by 6.4%

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