Two numbers X and Y are respectively 20% and 28% less than a third number Z. By what percentage is the number

Question

Two numbers X and Y are respectively 20% and 28% less than a third number Z. By what percentage is the number Y less than the number X?

Accepted Answer

Let the third number Z be 100. Then X is 20% less than Z, so X = 100 - 20 = 80. Y is 28% less than Z, so Y = 100 - 28 = 72. The difference between X and Y is X - Y = 80 - 72 = 8. To find the percentage by which Y is less than X, we calculate (Difference / X) * 100 = (8 / 80) * 100 = 10%.