$Adding Percentages$

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$Adding Percentages$

Hi, Can I add these 2 percentages together? Let's say the scrap loss of 1 part is 2% over 150 transactions and the scrap loss of an assembly that the scrap loss part goes into is 4 percent o 137 transactions (both transactions take place over 1 calendar year). In order for me to plan according to have the appropriate amount of the 1 part I would by 6 percent more than is needed (2% plus 4%). Is that correct? Thanks, Ron

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Ron Powell

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It is a very good approximation, but not completely accurate. Let's say you need 100 units by the end of the year. If you buy $x$ of part 1 then $$x\times 0.98 $$ units are working. And then 96% of these will be assembled correctly. So overall $$ x\times 0.98 \times 0.96$$ working units are made. Now $$ x\times 0.98 \times 0.96=100 \implies x=100/(0.98 \times 0.96)=106.29$$ So you need 6.29 % more from the beginning.

Martin

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$Adding Percentages$

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