At the end of the day, February 14th, a florist had 120 roses left in

Question

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%

this is from the Manhattan GMAT email I get which attempts to solicit my business. I am posting because I believe I have solved it, but cannot find the answer on their website. Please post your answer and method!

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

this is from the Manhattan GMAT email I get which attempts to solicit my business. I am posting because I believe I have solved it, but cannot find the answer on their website. Please post your answer and method!

fluke · Accepted Answer

DaVagabond · Answer

I think here the important thing s to first understand that from the Question we get - No of red and short stemmed roses = 5.

second - we know that there no white and long stemmed roses.

Third - 120-40 = 80 are long stemmed and red & pink.

Last - 80 has to be split into two parts that, 5 of one part and 15 of the other are the same in terms of percentage of their respective parts.

So, 5+15 = 20, since the total is 80 , We can solve by 80/20=4.

Hence 5*4 = 20(red roses)
 15*4 =60(pink roses)

Now 20/80 * 100 = 25 %

Ans B

Bhai · Answer

I also got 25 %.

40 SS
120 LS
20W + 15P + 5 R = 40

also we know that

15/X*100 = 5/80-X*100
X = 60 which is the number of pink roses. so 20 is the number of red roses. 25 percent of LS roses were red. :flower

kevincan · Answer

If there are 120 roses, we see that 20 are white (20 white-short but none white-long), so 100 are either red or pink

Let r and 100-r be the number of red and pink roses respectively. 5 of the red roses and 15 of the pink roses are short, so the number of long reds and long pinks are r-5 and 85-r respectively.

The percentage of pink roses that were short-stemmed equaled the percentage of red roses that were short-stemmed

So, (85-r)/(100-r)=(r-5)/r =>r=25.

Thus there are a total of 20+60=80 long roses, 20 of which are red

20/80= 25% B

subhashghosh · Answer

R + W + P = 120

S + L = 120

1/3 * 120 = 40

Short-Stemmed White = 20

Short-Stemmed Pink = 15

=> Short-Stemmed Red = 5

15/P = 5/R

=> R = P/3

So Total Long Stemmed = 80

And Long Stemmed Red + Long Stemmed Pink = 80

So Long Stemmed Red/Long Stemmed = ?

Total White = 20 (As no Long stemmed white)

=> R + 3R + 20 = 120

=> 4R = 100 and R = 25

Long Stemmed R = 25 - 5 = 20

So Long Stemmed Red/R = 20/80 = 25%

Answer - B

Marcab · Answer

Don't you guys feel that there is some problem with the language of the problem. Percentage of pink roses that were short stemmed means 15/120, in fact that's what I have learnt from SC.
I agree with the solution that fluke gave and this had been my approach when I was struck by the language of the question.
Please correct me if I am wrong.

Bunuel · Answer

"The percentage  of pink roses  that were short-stemmed ..." so the percentage is {short-stemmed pink}/{total pink}.

Hope it's clear.

guptalavi24 · Answer

u did a small mistake. r=3p and r+p=80, then r-60 and p-20.
you took the opposite.
thus req ans= 60/80=75%

gmatzpractice · Answer

short-stemmed=40
- 20 white
- 15 pink
- 5 red

long-stemmed=80
- p pink
- 80-p red

15/(p+15)=5/(85-p) 
3(85-p)=p+15
255-15=4p
p=60

20/80
Answer B

GMATinsight · Answer

Please see the video solution here...

https://www.youtube.com/watch?v=C4R85hD239c

RastogiSarthak99 · Answer

Great question actually. I arrived at an equation of something like this:

15/15+y = 5/x+5

if x = total red y = total pink

this tells us 3x = y or 3 red for 1 pink

long red = 20; Now a trap is to do 20% but Q is asking what % of long is red, so 20/80 = 1/4 = 25%

bumpbot · Answer

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At the end of the day, February 14th, a florist had 120 roses left in

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