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Re: A certain boat sales lot sells both sailboats and boats that [#permalink]
Expert Reply
Great guys for the explanations.

Thank you so much.

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Re: A certain boat sales lot sells both sailboats and boats that [#permalink]
RSQUANT wrote:
huda wrote:
A certain boat sales lot sells both sailboats and boats that are not sailboats. 25% of the boats are used sailboats. Of non-sailboats, \(\frac{3}{5}\) are new. If 33% of all boats are used, approximately what percentage of the sailboats are new?

(A) 31%
(B) 33%
(C) 67%
(D) 68%
(E) 69%


Sorry to reply the answer in the form of an image but have to as it's a Venn diagram question. Please could the author check the answer as my answer is 67%. The 3/5th of Non sail boats information is not required.


I am getting the same answer too.
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Re: A certain boat sales lot sells both sailboats and boats that [#permalink]
I also got 67% would be nice if the answer can be re-verified? Since 69% makes no sense.
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Re: A certain boat sales lot sells both sailboats and boats that [#permalink]
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Let total boats = 100
Non-sail boats = y

We know, used sailboats = 25 (from qu.) and new non-sail boats = 3y/5
So, used NON-sailboats = 2y/5
Also, total used boats = 33
so, 25 + 2y/5 = 33
Or y = 20
so new non-sail boats = 12 (3y/5)
67% of all boats are new.
So new sail boats = 67-12 = 55
Total sail boats (used + non used ) = 55+25 = 80

%age of new sail boats = 55/80 * 100 ~~ 69% E
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Re: A certain boat sales lot sells both sailboats and boats that [#permalink]
1
Let total number of boats be b

So used sailboat = 0.25b

All used boats = 0.33b


New sailboat = a


Total new boat = 0.67b


used non sailboat = 0.08b

total non sailboat = y


number of nonsailboats that are new = 0.6y

Total number of sailboats = x


0.08b + 0.6y = y

0.08b= 0.4y

b=5y


Required percent

x-0.25b/x


4y-1.25y/4y

2.75y/4y x 100

68.75%

Approx 69%

Answer E

Adewale Fasipe, GRE/GMAT quant instructor from Nigeria

https://www.teacheron.com/tutor-profile/8tG7?r=8tG7
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Re: A certain boat sales lot sells both sailboats and boats that [#permalink]
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