Feb 14

vikramveer 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?

(A) 20%
(B) 25%
(C) 50%
(D) 75%
(E) 80%

liferocks wrote:Total number of roses=120
Number of short-stemmed =120*1/3=40
white short-stemmed roses=20
pinkshort-stemmed roses=15
red short-stemmed roses=40-(20+15)=5

total long -stemmed roses=120-40=80

let x be the number of long stemmed pink roses
so 80-x is the number of long stemmed red roses

so 5/(80-x) =15/x
or x=240-3x
or x=60

so long stem red roses=80-60=20=25%

Ans option B