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By what percent will the product of two numbers change if one of them increased by 20% and the other decreased by 20%?

By what percent will the product of two numbers change if one of them increased by 20% and the other decreased by 20%?
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5 votes
By what percent will the product of two numbers change if one of them increased by 20% and the other decreased by 20%?

User Exebook
by
8.9k points

2 Answers

4 votes

Answer:

It will become 4% smaller

Explanation:

;)

User Vlad Uvarov
by
7.6k points
2 votes
x,y: product = 1.00xy

1.2x,0.8y: product = 1.2x*0.8y=0.96xy

Percent change: ((0.96xy)-(1.00xy))/(1.00xy) = -4%
User Juergi
by
8.9k points
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