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The positive numbers w, x, y, and z are such that x is 20 [#permalink]
09 Oct 2008, 05:03

The positive numbers w, x, y, and z are such that x is 20 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?

Re: math---percent [#permalink]
09 Oct 2008, 06:36

albany09 wrote:

The positive numbers w, x, y, and z are such that x is 20 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?

A. 15.2% B. 16.0% C. 20.0% D. 23.2% E. 24.8%

x - 120 y and w - 100 z - 83.33

IMO C 20% _________________

The one who flies is worthy. The one who is worthy flies. The one who doesn't fly isn't worthy

Re: math---percent [#permalink]
09 Oct 2008, 12:02

albany09 wrote:

The positive numbers w, x, y, and z are such that x is 20 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?

A. 15.2% B. 16.0% C. 20.0% D. 23.2% E. 24.8%

1200 = x , y = 1000 ,z = 5000/6 = 2500/3. = 833

w = 960

960 - 833 = 127 127/833*100 = 15.25% approx A is the answer

Re: math---percent [#permalink]
09 Oct 2008, 12:18

albany09 wrote:

The positive numbers w, x, y, and z are such that x is 20 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?

A. 15.2% B. 16.0% C. 20.0% D. 23.2% E. 24.8%

x = 1.2y ---------- (1) y = 1.2z ---------- (2) w = 0.8x ---------- (3)

Question: w = (1+p)z, find p

w = 0.8*(1.2y) ---------- (1) & (3) ---------- (4) w = 0.8*(1.2)*(1.2)z ---------- (4) & (2) w = (1.152)z w = (1 + 0.152)z p = 0.152 = 15.2%

Re: math---percent [#permalink]
09 Oct 2008, 12:20

albany09 wrote:

The positive numbers w, x, y, and z are such that x is 20 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?

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