30 percent of tourists ride bicycles and have beverages. If 60 percent

Question

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%

CareerGeek · Accepted Answer

https://gmatclub.com/forum/download/file.php?mode=view&id=48488

Let the total number of tourists riding bicycles = X
60 percent of the tourists riding bicycles do not have beverages
--> 40% of the tourists riding bicycles have beverages = 30 (Given)
--> 40% of X = 30
--> 40/100*X = 30
--> X = 30*100/40 = 75

X + Y = 100
--> Y = 100 - X = 100 - 75 = 25

Total number of tourists without bicycles = 25%

IMO Option C

Pls Hit Kudos if you like the solution

Kinshook · Answer

Since 30% of tourists ride bicycles and beverages,  45%  of tourists ride bicycles and have no beverages and 75% of tourists ride bicycles (30% + 45%) in total which satisfies 60 percent of the tourists riding bicycles do not have beverages (60% of 75% = 45%)
Now the answer to what percent of the total number of tourists are without bicycles = 25% = 100%-75%

SchruteDwight · Answer

\frac{3}{10}*( Total )=\frac{2}{5}*( Bikers )

ScottTargetTestPrep · Answer

We can let the total number of tourists = 200.

Thus, 60 ride bicycles and have beverages. Since 60 percent of the tourists riding bicycles do not have beverages, 40 percent of the tourists riding bicycles do have beverages. If b = the number of tourists who ride bicycles, we can create the equation:

0.4b = 60

b = 60/0.4 = 600/4 = 150

Since 150 tourists have bicycles, 200 - 150 = 50 tourists don’t have a bicycle, which is 50/200 = 1/4 = 25% of the tourists.

Answer: C

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30 percent of tourists ride bicycles and have beverages. If 60 percent

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30 percent of tourists ride bicycles and have beverages. If 60 percent

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