The eSoroban device is available in two colors, orange and green. In 2

Question

The eSoroban device is available in two colors, orange and green. In 2013, 60% of the eSoroban devices sold were purchased by women, \(\frac{5}{12}\) of whom purchased the orange device. If an equal number of orange and green eSoroban devices were sold in 2013, what fraction of men who purchased an eSoroban in 2013 purchased the green device?

A. \(\frac{3}{10}\)

B. \(\frac{3}{8}\)

C. \(\frac{5}{12}\)

D. \(\frac{1}{2}\)

E. \(\frac{5}{7}\)

A.  \frac{3}{10}

B.  \frac{3}{8}

C.  \frac{5}{12}

D.  \frac{1}{2}

E.  \frac{5}{7}

RanonBanerjee · Answer

B. 3/8.

Let's assume 100 devices were there to begin with.
60 were purchased by women. 60*5/12= 25 orange and 60-25= 35 green.

40 were purchased by men. Let's assume x% of men bought green device.

(40x/100)+35 = 40/100*(100-x) +25

X=75/2 %

75/2% of 40 = 15 men bought green device
Wihich is 15/40= 3/8 fraction.

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Showmeyaa · Answer

Assuming total to be 120:
IMO, (D)!
 https://i.imgur.com/dUcenSB.jpg

Fdambro294 · Answer

Careful at the end.

(5/12) of 72 = 30 goes in (women + orange)

And

What percentage of MEN ——> so you want to use the subtotal for Men in the DEN

(Green + Men) / (Men) = 18 / 48 = 3/8

3/8

Posted from my mobile device

Showmeyaa · Answer

Ahhh, yes you are right! I accidentally took the men population to be 60(which is the green device population) instead of 48! Kudos to you

Kinshook · Answer

Given: The eSoroban device is available in two colors, orange and green. In 2013, 60% of the eSoroban devices sold were purchased by women,  \frac{5}{12}  of whom purchased the orange device.

Asked: If an equal number of orange and green eSoroban devices were sold in 2013, what fraction of men who purchased an eSoroban in 2013 purchased the green device?

Men  Women  Total  
  Orange  50%-25%=25%  5/12*60%=25%  50%  
  Green  50%-35%=15%  60%-25%=35%  50%  
  Total  40%  60%  100%

The fraction of men who purchased an eSoroban in 2013 purchased the green device = 15%/40% = 3/8

IMO B

WizakoMani · Answer

In these type of questions, it is important to keep track of the data. So, here there is a condition that is given 60% of the purchases were made by women, take down the data that men purchased the 40%.

60% of the eSoroban devices sold were purchased by women,  \frac{5}{12}  of whom purchased the orange device.

Take the total number of people here to be 100. 60% of the devices were purchased by women. So, 60 people are women who have bought the device. 40 men have bought the device

\frac{5}{12}  purchased the orange device  \frac{5}{12} * 60  = 25.

If  \frac{5}{12}  of them purchased the orange, the rest should have purchased green 
 1 - \frac{5}{12} = \frac{7}{12}   
 \frac{7}{12}*60 = 35

Now, we know that there are 40 men. and the number of green and orange devices that are sold are the same i.e, 50.
Number of green devices already purchased of the 50 = 35. 
Number of green devices that should be owned by men = y = 50 - 35 = 15.

The ratio of men owning the green device is =  \frac{y}{40} = \frac{15}{35} = \frac{3}{8}

IMO, Option B.

It can also be solved using the table method. This also helps in keeping track of the data.

For more interesting questions, visit:  Wizako Practice Questions

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The eSoroban device is available in two colors, orange and green. In 2

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	Men	Women	Total
Orange	50%-25%=25%	5/12*60%=25%	50%
Green	50%-35%=15%	60%-25%=35%	50%
Total	40%	60%	100%

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The eSoroban device is available in two colors, orange and green. In 2

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