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30 percent of tourists ride bicycles and have beverages

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30 percent of tourists ride bicycles and have beverages [#permalink]

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New post 18 Mar 2018, 12:36
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30 percent of tourists ride bicycles and have beverages. If 60 percent of the tourists riding bicycles do not have beverages, what percent of the total number of tourists are without bicycles?

(A) 10%
(B) 20%
(C) 25%
(D) 30%
(E) 40%
[Reveal] Spoiler: OA

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30 percent of tourists ride bicycles and have beverages [#permalink]

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New post 18 Mar 2018, 13:02
itisSheldon wrote:
30 percent of tourists ride bicycles and have beverages. If 60 percent of the tourists riding bicycles do not have beverages, what percent of the total number of tourists are without bicycles?

(A) 10%
(B) 20%
(C) 25%
(D) 30%
(E) 40%


If we have 100 tourists, 30 of them both have beverages and ride bicycles.
If 60% of the tourists riding bicycles do not have beverages, 40% of the tourists riding bicycles is 30.

The total members having bicycles can be calculated as follows:

If \(40\)% is \(30\) and \(100\)% is x, then x = \(30*\frac{100}{40} = 15*5 = 75\)

Therefore, 25 tourists have no bicycles and this represents \(\frac{25}{100}\) or \(25\)% of the tourists(Option C)
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30 percent of tourists ride bicycles and have beverages   [#permalink] 18 Mar 2018, 13:02
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