AIM TO CRACK GMAT wrote:At the end of the day, February 14th, a florist had 120 roses left in his shop, all of which were red, white or pink in color and either long or short-stemmed. A third of the roses were short-stemmed, 20 of which were white and 15 of which were pink. The percentage of pink roses that were short-stemmed equaled the percentage of red roses that were short-stemmed. If none of the long-stemmed roses were white, what percentage of the long-stemmed roses were red?
20% 25% 50% 75% 80%
Use a GROUP GRID to organize the data.
A florist had 120 roses left in his shop, all of which were red, white or pink in color and either long or short-stemmed.
A third of the roses were short-stemmed:
........L........S........T
R
W
T.....
80.....
40......
120
Of the short-stemmed roses, 20 were white and 15 were pink.
None of the long-stemmed roses were white:
........L........S........T
R................
5
W......
0.......
20.....
20
P................
15
T.....80......40.....120
The percentage of pink roses that were short-stemmed equaled the percentage of red roses that were short-stemmed.
This is the equivalent of the following ratio:
long red : short red = long pink : short pink
long red : 5 = long pink : 15
long red : long pink = 5:15 = 1:3.
The grid indicates that (long red) + (long pink) = 80.
Since 1:3 = 20:60, long red = 20 and long pink = 60.
Thus:
(long red) / (total long) = 20/80 = 1/4 = 25%.
The correct answer is
B.
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