Author 
Message 
TAGS:

Hide Tags

Senior Manager
Status: Gathering chakra
Joined: 05 Feb 2018
Posts: 440

The eSoroban device is available in two colors, orange and green.
[#permalink]
Show Tags
25 May 2019, 13:07
Question Stats:
75% (02:40) correct 25% (02:49) wrong based on 123 sessions
HideShow timer Statistics
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. \(\frac{5}{7}\)
Official Answer and Stats are available only to registered users. Register/ Login.



VP
Joined: 19 Oct 2018
Posts: 1151
Location: India

Re: The eSoroban device is available in two colors, orange and green.
[#permalink]
Show Tags
25 May 2019, 14:41
Let the total number of devices sold= lcm(5,12)=60 Orange devices=30, Green devices=30 Devices sold to women= (3/5)*60=36 orange devices sold to women= (5/12)*36= 15 green devices sold to women= 3615=21
green devices sold to men=3021=9 devices sold to men= 6036=24
fraction of men who purchased an eSoroban in 2013 purchased the green device=9/24=3/8



Intern
Joined: 02 May 2019
Posts: 13

Re: The eSoroban device is available in two colors, orange and green.
[#permalink]
Show Tags
26 May 2019, 05:37
nick1816 wrote: Let the total number of devices sold= lcm(5,12)=60 Orange devices=30, Green devices=30 Devices sold to women= (3/5)*60=36 orange devices sold to women= (5/12)*36= 15 green devices sold to women= 3615=21
green devices sold to men=3021=9 devices sold to men= 6036=24
fraction of men who purchased an eSoroban in 2013 purchased the green device=9/24=3/8 Question here. Where in the problem state that the product is produced equally in two colors? There could have been more green and vice versa, right? So how did you know it was a 50/50 split?



VP
Joined: 19 Oct 2018
Posts: 1151
Location: India

The eSoroban device is available in two colors, orange and green.
[#permalink]
Show Tags
26 May 2019, 06:05
The eSoroban device is available in two colors, orange and green. In 2013, 60% of the eSoroban devices sold were purchased by women, 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?
Question here.
Where in the problem state that the product is produced equally in two colors?
There could have been more green and vice versa, right?
So how did you know it was a 50/50 split?[/quote]
Posted from my mobile device



VP
Joined: 31 Oct 2013
Posts: 1489
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)

Re: The eSoroban device is available in two colors, orange and green.
[#permalink]
Show Tags
11 Aug 2019, 01:19
energetics wrote: 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. \(\frac{5}{7}\) org green Total Men 25 15 40 women 25 35 60 Total 50 50 100 Required Fraction: 15/40 = 3/5



Intern
Joined: 05 Mar 2018
Posts: 22

The eSoroban device is available in two colors, orange and green.
[#permalink]
Show Tags
11 Aug 2019, 02:38
It takes me 9min to sort out:(



Manager
Joined: 11 Mar 2018
Posts: 158

Re: The eSoroban device is available in two colors, orange and green.
[#permalink]
Show Tags
11 Aug 2019, 02:58
energetics wrote: 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. \(\frac{5}{7}\) Let Total People, who purchased devices, be 100. Therefore Women who purchased devices = 60 (According to question) and hence Men who purchased devices = 40 (100  60)  (1) Now \(\frac{5}{12}\) is the fraction of orange device of devices purchased by women. That is equal to 25 Hence remaining devices, purchased by women, are green and are equal to = 60  25 = 35 Now from question we know, Total Green devices = Total Orange devices Hence 35(Green devices with women) + G(Green devices with men) = 25(Orange devices with women) + O(Orange devices with men) which we can write as O  G = 10  (2)And also O + G = 40  (3) [From (1)] From (2) and (3), we get O = 25 G = 15 fraction of men who purchased an eSoroban in 2013 purchased the green device = \(\frac{Green devices purchased by men}{Total Men who purchased eSorban Devices}\) Hence \(\frac{15}{40}\) => \(\frac{3}{8}\)  Answer (B)



SVP
Joined: 03 Jun 2019
Posts: 1876
Location: India

The eSoroban device is available in two colors, orange and green.
[#permalink]
Show Tags
15 Sep 2019, 02:30
energetics wrote: 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. \(\frac{5}{7}\) Given: 1. The eSoroban device is available in two colors, orange and green. 2. In 2013, 60% of the eSoroban devices sold were purchased by women, \(\frac{5}{12}\) of whom purchased the orange device. 3. An equal number of orange and green eSoroban devices were sold in 2013 Asked: What fraction of men who purchased an eSoroban in 2013 purchased the green device? OrangeGreenTotal Men15%25%40% Women25%35%60% Total 50%50%100% Fraction of men purchasing green device = 15%/40% = 3/8 IMO B



SVP
Status: It's near  I can see.
Joined: 13 Apr 2013
Posts: 1703
Location: India
Concentration: International Business, Operations
GPA: 3.01
WE: Engineering (Real Estate)

Re: The eSoroban device is available in two colors, orange and green.
[#permalink]
Show Tags
23 Nov 2019, 03:23
Kinshook wrote: energetics wrote: 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. \(\frac{5}{7}\) Given: 1. The eSoroban device is available in two colors, orange and green. 2. In 2013, 60% of the eSoroban devices sold were purchased by women, \(\frac{5}{12}\) of whom purchased the orange device. 3. An equal number of orange and green eSoroban devices were sold in 2013 Asked: What fraction of men who purchased an eSoroban in 2013 purchased the green device? OrangeGreenTotal Men15%25%40% Women25%35%60% Total 50%50%100% Fraction of men purchasing green device = 15%/40% = 3/8 IMO B But in the vertical columns of both orange and green the addition becomes Orange = 15% + 25% = 40%, which is not equal to 50% Same goes for green devices? Can you explain?
_________________
"Do not watch clock; Do what it does. KEEP GOING."




Re: The eSoroban device is available in two colors, orange and green.
[#permalink]
23 Nov 2019, 03:23






