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Out of the total boys and girls in a class, 45% are boys and 25% are

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Out of the total boys and girls in a class, 45% are boys and 25% are  [#permalink]

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New post 11 May 2018, 11:27
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43% (02:03) correct 57% (02:33) wrong based on 63 sessions

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Out of the total boys and girls in a class, 45% are boys and 25% are girls who don't like tea. What percent of boys in this class like tea?

(1) 50% of those who like tea are girls.

(2) Ratio of boys who don't like tea to girls who don't like tea is 3:5.
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Re: Out of the total boys and girls in a class, 45% are boys and 25% are  [#permalink]

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New post 11 May 2018, 13:22
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amanvermagmat wrote:
Out of the total boys and girls in a class, 45% are boys and 25% are girls who don't like tea. What percent of boys in this class like tea?

(1) 50% of those who like tea are girls.

(2) Ratio of boys who don't like tea to girls who don't like tea is 3:5.


Questions involving overlapping sets can usually be solved visually, with an axis.
This is an Alternative approach.

Drawing our axis (see below), we can easily SEE the separation between our 4 sets - boys who like tea, boys who don't like tea, girls who like tea and girls who don't like tea. Moreover, we can SEE that boys = 45% means girls = 55% and that girls who don't like tea = 25% means that girls who like tea = 55% - 25% = 30%.

(1) This means that an equal number of boys and girls drink tea. From what we wrote above that means that 30% of students are boys who drink tea so our percent is 30/45.
Sufficient.

(2) Since 25% of girls don't like tea, 15% of boys don't like tea and 45% - 15% = 30% of boys do like tea.
Sufficient.

(D) is our answerr
Attachments

axis.png
axis.png [ 14.34 KiB | Viewed 519 times ]


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Re: Out of the total boys and girls in a class, 45% are boys and 25% are  [#permalink]

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New post 12 May 2018, 20:42
amanvermagmat wrote:
Out of the total boys and girls in a class, 45% are boys and 25% are girls who don't like tea. What percent of boys in this class like tea?

(1) 50% of those who like tea are girls.

(2) Ratio of boys who don't like tea to girls who don't like tea is 3:5.



This is another method:- In the attachment refer to 1st table. I have used the given value and calculated whatever we can.

From Statement 1 :- Boys who like tea and Girls who like tea are equal. It implies both are 30%. Refer table 2.

From Statement 2 : - Boys who do not like tea (Bnt) and Girls who do not like tea (Gnt) is in the ratio of 3:5. Refer table 3.
Bnt/ Gnt = 3/5 ==> Bnt/25 = 3/5 ==> Bnt = 15.
Boys who don't like tea = 15%.
Total Boys % = 45
Hence Boys who like tea can be found = 45-15=30%.


Hope it helps.
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DS Problem in Sets.xlsx [13.43 KiB]
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Re: Out of the total boys and girls in a class, 45% are boys and 25% are  [#permalink]

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New post 14 May 2018, 08:17
Good question - I should have solved it till the end to get the answer. Hindside bias
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Re: Out of the total boys and girls in a class, 45% are boys and 25% are &nbs [#permalink] 14 May 2018, 08:17
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