Problema Solution
By what percent will the product of two numbers increase if one of them is increased by 50%, and the other one decrease by 20 %?
Answer provided by our tutors
Let 'x' and 'y' represent the original numbers, then the product is xy.
x increased by 50% is 1.50x
y decreased by 20% is 0.80y
The product of 1.50x and 0.80y is:
1.50x*0.80y = 1.20xy
Now we find the increase percentage:
(1.20xy - xy)/xy = 0.20 or 20%
The product will increase by 20%.