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A certain health club offers only yoga classes and spin classes. If al

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A certain health club offers only yoga classes and spin classes. If al  [#permalink]

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New post 31 Oct 2014, 12:38
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A certain health club offers only yoga classes and spin classes. If all club members take at least one type of class, what percent of members take yoga classes?

(1) 30% of members take both types of classes.

(2) 40% of members take only spin classes.

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Re: A certain health club offers only yoga classes and spin classes. If al  [#permalink]

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New post 31 Oct 2014, 14:01
JusTLucK04 wrote:
A certain health club offers only yoga classes and spin classes. If all club members take at least one type of class, what percent of members take yoga classes?

(1) 30% of members take both types of classes.

(2) 40% of members take only spin classes.

OE to follow...!!!


Since its a percentage question so to make things easy lets take the total number of members of health club is 100
STAT1
30% of members take both types of classes => 30 people take both types of classes
Since everyone takes atleast one type of class.
So, People taking only Yoga + People taking only health class + people taking both type of classes = 100
SO, people who take only Yoga + people who take only health class = 100 - 30 = 70
So, NOT SUFFICIENT

STAT2
40% of members take only spin class => 40 people
Since everyone takes atleast one type of class
So, People taking only Yoga + People taking only health class + people taking both type of classes = 100
So, People taking only health + people taking both type of classes = 100 - 40 = 60
People taking only health + people taking both health and yoga = people taking health class in total = 60
So, SUFFICIENT

So, Answer will be B
Hope it helps!
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Re: A certain health club offers only yoga classes and spin classes. If al  [#permalink]

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New post 28 Jul 2015, 08:51
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It's tricky... the question is only asking about percent of members take yoga classes not percent of members take only yoga classes
:shock: :shock:
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A certain health club offers only yoga classes and spin classes. If al  [#permalink]

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New post 23 Jan 2016, 04:58
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It always becomes so easy with a matrix box. Just plug in the data given and get the result.
Attachments

matrix.jpg
matrix.jpg [ 51.66 KiB | Viewed 4451 times ]


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Re: A certain health club offers only yoga classes and spin classes. If al  [#permalink]

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New post 10 Apr 2016, 07:24
JusTLucK04 wrote:
A certain health club offers only yoga classes and spin classes. If all club members take at least one type of class, what percent of members take yoga classes?

(1) 30% of members take both types of classes.

(2) 40% of members take only spin classes.

OE to follow...!!!


Can someone explain this with simple explanation
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A certain health club offers only yoga classes and spin classes. If al  [#permalink]

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New post Updated on: 16 Apr 2018, 12:50
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JusTLucK04 wrote:
A certain health club offers only yoga classes and spin classes. If all club members take at least one type of class, what percent of members take yoga classes?

(1) 30% of members take both types of classes.

(2) 40% of members take only spin classes.


Here's a step-by-step approach using the Double Matrix method.

Here, we have a population of health club members, and the two characteristics are:
- taking yoga or not taking yoga
- taking spin classes or not taking spin classes

So, we can set up our diagram as follows:
Image
IMPORTANT: Notice that I placed a zero in the bottom right corner because we are told that all club members take at least one type of class
In other words, there are zero members who take neither yoga nor spin classes.

Also notice that I made the total population of club members = 100. This is okay since the target question asks us to find a certain PERCENT.

Target question: What percent of members take yoga classes?

In other words, we want to find the sum of the top two boxes.
Image

Statement 1: 30% of members take both types of classes.
So, we can place 30 of the 100 members in the top-left box.
Image
Does this provide enough information to find the sum of the top two boxes?
No.
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: 40% of members take only spin classes.
So, we can place a 40 in the bottom left box.
Image

This means that a total of 40 of the 100 members do NOT take yoga.
Image

From this, we can conclude that the remaining 60 members DO take yoga.
Image
In other words, 60% of the members take yoga.
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer =

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Originally posted by GMATPrepNow on 22 Sep 2016, 13:24.
Last edited by GMATPrepNow on 16 Apr 2018, 12:50, edited 1 time in total.
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Re: A certain health club offers only yoga classes and spin classes. If al  [#permalink]

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New post 23 Feb 2017, 06:13
Prompt analysis
There are yoga class and spin class. There are members who either joins spin or yoga or both classes.
That means 100 = N(y only) + N(s only) + N(y and s)
Superset
The value of percentage of member will be in the range of 0-100%

Translation
In order to find the exact value, we need:
1# the exact percentage of people taking yoga classes
2# The rest of the parameter in in the prompt analysis

Statement analysis
St 1: N(y and s) = 30. Therefore N(y only) +N (s only) = 70. Cannot say anything about the rest two variable. INSUFFICIENT
St 2: N(s only) = 40 .therefore N(y only) +N(y and s) = 60. Cannot say anything about the rest two variable. INSUFFICIENT

St 1 & St 2: N(y and s) = 30 and N(s only) = 40. Therefore N(y only) = 30. ANSWER.
Option C
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Re: A certain health club offers only yoga classes and spin classes. If al  [#permalink]

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New post 03 Jul 2017, 03:54
sairam595 wrote:
JusTLucK04 wrote:
A certain health club offers only yoga classes and spin classes. If all club members take at least one type of class, what percent of members take yoga classes?

(1) 30% of members take both types of classes.

(2) 40% of members take only spin classes.

OE to follow...!!!


Can someone explain this with simple explanation


Since number of people who take neither = 0 (Given:all club members take at least one type of class), then we need to find members who take Yoga

40% of members take only spin classes--> remaining 60 % take yoga classes (i.e. those members who take yoga only + those members who take both yoga and spin =60%)

Hence B alone is suff.
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Re: A certain health club offers only yoga classes and spin classes. If al  [#permalink]

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Re: A certain health club offers only yoga classes and spin classes. If al   [#permalink] 14 Sep 2018, 02:02
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