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

Mathematics

Alfred Bird

3 March, 13:55

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?

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Answers (1)

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Abigail Ballard · 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.