How to change the product of two numbers if one of them is increased by 20% and the other is decreased by 20%?

univerkov | August 6, 2021 | education

To solve this problem, we introduce two conditional variables “X” and “Y”, through which we denote two arbitrary numbers.

Then we get that the product of these numbers will be equal to XY.

The new numbers will be 1.2X and 0.8Y.

This means that the product of the new numbers will be equal to 1.2X x 0.8Y = 0.96XY.

Therefore, the product of the new numbers will be ((XY – 0.96XY) / XY) x 100% = 4% less than the product of the original numbers.

Answer: the product of the new numbers will be 4% less than the product of the original numbers.

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