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

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Re: A computer retailer sells only TFT and LCD monitors. In the graph abov [#permalink]
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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]
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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pic.docx [24.17 KiB]

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Re: A computer retailer sells only TFT and LCD monitors. In the graph abov [#permalink]
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Re: A computer retailer sells only TFT and LCD monitors. In the graph abov [#permalink]
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No calculations done. Refer diagram below:

Attachment:

2014-12-26_1936.png [ 22.07 KiB | Viewed 6073 times ]
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Re: A computer retailer sells only TFT and LCD monitors. In the graph abov [#permalink]
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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Re: A computer retailer sells only TFT and LCD monitors. In the graph abov [#permalink]
Bunuel wrote:

Tough and Tricky questions: Word Problems.

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