If y is 20% less than 90% of x and z is 25% more than 130% of y, then z is what percent of x?

Question

Karen Chavez

Mathematics

26 July, 09:36

If y is 20% less than 90% of x and z is 25% more than 130% of y, then z is what percent of x?

+4

Answers (1)

Know the Answer?

Tara Hardin · Answer 1

This problem can be solved purely by analysis.

y is only 80% of 90% of x, therefore:

y = 0.80 * (0.90 * x)

y = 0.72 x - - - > 1

z is 125% of 130% of y, therefore:

z = 1.25 * (1.30 * y)

z = 1.625 y - - - > 2

Therefore combining 1 and 2:

z = 1.625 * (0.72 x)

z = 1.17 x

So z is 117% of x.