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Re: If x is 150% greater than 200, x is what percent greater [#permalink]
12 Jun 2018, 10:01

1

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Expert's post

sandy wrote:

If x is 150% greater than 200, x is what percent greater than 50% of 500?

(A) 0 (B) 20 (C) 50 (D) 100 (E) 200

If x is 150% greater than 200, then x is 250% of 200, or 2.5 x 200 = 500. Since 50% of 500 = 0.5 x 500 = 250, then x = 500 is (500 - 250)/250 = 100 percent greater than 250.

Re: If x is 150% greater than 200, x is what percent greater [#permalink]
14 Jul 2018, 04:51

Expert's post

Explanation

“150% greater than 200” means 150% of 200, or 300, added back to 200. This is the not the same figure as 150% of 200. Thus, 150% greater than 200 is 200 + (200)(1.5) = 500.

50% of 500 = 250. Translate the question as “500 is what percent greater than 250?” Since 500 is twice 250, it is 100% greater than 250.
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