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A computer retailer sells only TFT and LCD monitors. In the graph abov

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A computer retailer sells only TFT and LCD monitors. In the graph abov  [#permalink]

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New post 26 Dec 2014, 07:37
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A
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C
D
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  55% (hard)

Question Stats:

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Tough and Tricky questions: Word Problems.



Image
A computer retailer sells only TFT and LCD monitors. In the graph above, the x-axis represents the day of the week and the y-axis represents the number of monitors sold. On which day was the ratio of the number of LCD monitors sold to the total number of monitors sold the greatest?

A. Monday
B. Tuesday
C. Wednesday
D. Thursday
E. Friday

Kudos for a correct solution.

Attachment:
2014-12-26_1936.png
2014-12-26_1936.png [ 7.5 KiB | Viewed 3075 times ]

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Re: A computer retailer sells only TFT and LCD monitors. In the graph abov  [#permalink]

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New post 26 Dec 2014, 08:42
To calculate the share of LCD monitors in total monitor sales, we first need to determine the number of LCD sales. Note that the total number of display sales is directly shown in the graph, but the number of LCD display sales needs to be calculated as the difference of total monitors and TFT monitors.

We get the following values:
\(Mon: \frac{10}{18}, Tue: \frac{10}{22}, Wed: \frac{12}{24}, Thu: \frac{10}{26}, Fri: \frac{12}{26}\).

Now we can compare the figures and see that all values, except of Wednesday's number are smaller than \(\frac{1}{2}\). Answer C it is.
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Re: A computer retailer sells only TFT and LCD monitors. In the graph abov  [#permalink]

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New post 26 Dec 2014, 16:42
Bunuel wrote:

Tough and Tricky questions: Word Problems.



Image
A computer retailer sells only TFT and LCD monitors. In the graph above, the x-axis represents the day of the week and the y-axis represents the number of monitors sold. On which day was the ratio of the number of LCD monitors sold to the total number of monitors sold the greatest?

A. Monday
B. Tuesday
C. Wednesday
D. Thursday
E. Friday

Kudos for a correct solution.

Attachment:
2014-12-26_1936.png




LCD sales on each day = Mon-8. Tue-10 Wed-12 Thu-10 Fri-12

Ratio: Monday - 8/18
Tuesday - 10/22
Wednesday - 12/24
Thursday - 10/26
Friday - 12/26

Simplifying that Wednesday has the greatest ratio of LCD sales out of total sales

Ans C
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Re: A computer retailer sells only TFT and LCD monitors. In the graph abov  [#permalink]

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New post 26 Dec 2014, 23:50
Since we want the ratio of LCD/Total Tv to be highest we need balance maximizing the LCD TV sales and keeping the total TV sales low.

If you observe the graph keenly you will realize that Wednesday is the only day when LCD Sales are equal to 50% of total sales. All rest days the % is much lower. Hence the ratio will be highest for Wednesday. Answer is C.
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Re: A computer retailer sells only TFT and LCD monitors. In the graph abov  [#permalink]

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New post 01 Jan 2015, 10:14
A computer monitor dealer sells only TFT and LCD monitors. Based on the graph in the attachment , where the X axis represents the day of the week and the Y axis represents the amount of monitors sold , on which day was the share of LCD monitor sales the greatest.

a)Monday
b)Tuesday
c)Wednesday
d)Thursday
e)Friday

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Re: A computer retailer sells only TFT and LCD monitors. In the graph abov  [#permalink]

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New post 01 Jan 2015, 11:28
a-computer-retailer-sells-only-tft-and-lcd-monitors-in-the-graph-abov-190775.html
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Re: A computer retailer sells only TFT and LCD monitors. In the graph abov  [#permalink]

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New post 02 Jan 2015, 01:33
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1
Answer = C. Wednesday

No calculations done. Refer diagram below:

Attachment:
2014-12-26_1936.png
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Re: A computer retailer sells only TFT and LCD monitors. In the graph abov  [#permalink]

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New post 02 Jan 2015, 04:19
sunita123 wrote:
A computer monitor dealer sells only TFT and LCD monitors. Based on the graph in the attachment , where the X axis represents the day of the week and the Y axis represents the amount of monitors sold , on which day was the share of LCD monitor sales the greatest.

a)Monday
b)Tuesday
c)Wednesday
d)Thursday
e)Friday


PLEASE SEARCH BEFORE POSTING! Thank you.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Math Expert
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Re: A computer retailer sells only TFT and LCD monitors. In the graph abov  [#permalink]

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New post 08 Jan 2015, 08:37
Bunuel wrote:

Tough and Tricky questions: Word Problems.



Image
A computer retailer sells only TFT and LCD monitors. In the graph above, the x-axis represents the day of the week and the y-axis represents the number of monitors sold. On which day was the ratio of the number of LCD monitors sold to the total number of monitors sold the greatest?

A. Monday
B. Tuesday
C. Wednesday
D. Thursday
E. Friday

Kudos for a correct solution.

Attachment:
2014-12-26_1936.png


OFFICIAL SOLUTION:

The number of LCD sales is the difference between total sales and TFT sales.

For each day of the week, we can determine the ratio of the number of LCD monitors sold to the total number of monitors sold:
Monday: (18 – 10)/18 = 4/9
Tuesday: (22 – 12)/22 = 5/11
Wednesday: (24 – 12)/24 = 1/2
Thursday: (26 – 16)/26 = 5/13
Friday: (26 – 14)/26 = 6/13.

The greatest fraction is 1/2, so the ratio on Wednesday is the largest.

The correct answer is choice (C).
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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A computer retailer sells only TFT and LCD monitors. In the graph abov  [#permalink]

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New post 18 Oct 2018, 03:56
For this question no calculation but just a conceptual understanding of fractions is necessary:

The question asks us to find the maximum ratio of \(\frac{LCD}{(LCD+TFT)}\).
How do we maximise this fraction? By minimising the denominator, i.e. LCD+TFT, and maximising the numerator, i.e. LCD.
Hence, what we should be looking for in the graph, is a large difference between total sales and TFT (=LCD sales) and a low value for TFT sales. Wednesday fulfills our condition and is the answer.

Please hit Kudos if you liked this approach :)
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A computer retailer sells only TFT and LCD monitors. In the graph abov &nbs [#permalink] 18 Oct 2018, 03:56
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A computer retailer sells only TFT and LCD monitors. In the graph abov

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