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Increase in sales in % = (final share - initial share)/initial share = (8.8-6.6)/6.6=2.2/6.6=0.33 or 33%

Hence B
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As a result of a new promotion, a company increased its market share of sales of Product X from 6.6% to 8.8%. Assume that the total sales of Product X by all companies were constant. Which of the following is closest to the company's increase in sales of Product X as a result of the promotion?

A) 40%

B) 33%

C) 30%

D) 25%

E) 22%

Before Promotion

  • Total sales of Product X of the company before the promotion = \(x_1\)
  • Total sales of Product X of all companies before the promotion = \(y\)
  • Market share of Product X of the company = \(\frac{x_1}{y} *100= 6.6\)------ (1)


After Promotion

  • Total sales of Product X of the company after the promotion = \(x_2\)
  • Total sales of Product X of all companies after the promotion = \(y\)
  • Market share of Product X of the company = \(\frac{x_2}{y} *100= 8.8\)------ (2)

From equation (1)

\(y = \frac{100x_1}{6.6}\)

From equation (2)

\(y = \frac{100x_2}{8.8}\)

Equating both

\(\frac{x_2}{x_1} = \frac{4}{3}\)

\(\frac{4}{3}\) is \(1.33\) , hence the percentage increase = 33%
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I think this is wrong conceptually, you got the answers by chance, had it been some different numbers, answer will be way off.
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XimeSol
As a result of a new promotion, a company increased its market share of sales of Product X from 6.6& to 8.8%. Aassume that the total sales of Product X by all companies were constant. Which of the following is closest to the company's increase in sales of Product X as a result of the promotion?
A)40%
B)33%
C)3O%
D)25%
E)22%

We can directly calculate it by = New Market Share - Old Market share/Old Market share = 8.8-6.6/6.6 = 2.2/6.6 = 1/3 * 100 = 33.33

So Option B is the ans
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Hi MartyMurray, I'm not getting the english here - "Assume that total sales were constant" - if they were constant how does it translate to an increase in sales of product X? I'd imagine the only reason for market share increasing with constant sales is if the total market size decreased.
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Hi MartyMurray, I'm not getting the english here - "Assume that total sales were constant" - if they were constant how does it translate to an increase in sales of product X? I'd imagine the only reason for market share increasing with constant sales is if the total market size decreased.
Let's look at what the passage says.

As a result of a new promotion, a company increased its market share of sales of Product X from 6.6% to 8.8%. Assume that the total sales of Product X by all companies were constant.

- The company increased its market share (percentage of total sales by all companies) from 6.6% to 8.8%.

- Total sales by all companies were constant.

The wording "total sales of Product X by all companies were constant" is not 100% clear, but the only way to read it that makes sense is as meaning that the total OF the sales of all companies remained constant. In other words, industry-wide sales of Product X did not increase or decrease.

After all, "total sales by all companies were constant" must mean "industry-wide total sales remained constant." It could not mean that the total sales of each of all the companies were constant because we already know that the market share of at least one company changed, a change that would not occur if the sales of every individual company in the industry remained constant.

Thus, the meaning is that sales of one particular company went from 6.6% to 8.8% of the same overall total, meaning that sales by other companies must have decreased to have kept total sales the same.
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As a result of a new promotion, a company increased its market share of sales of Product X from 6.6% to 8.8%. Assume that the total sales of Product X by all companies were constant. Which of the following is closest to the company's increase in sales of Product X as a result of the promotion?

A quick way to do this question is to set total sales of all companies at 100.

(Note: "Total sales by all companies were constant" must mean "the total sales of Product X by the industry as a whole were constant." It could not mean that the sales of every individual company were constant because we already know that the market share of at least one company changed, a change that would not have occurred if the sales of every individual company in the industry remained constant.)

In that case, the sales of the company in question increased from 6.6% of 100, or 6.6, to 8.8% of 100, or 8.8.

8.8/6.6 = 1.3333...

A. 40%
B. 33%
C. 30%
D. 25%
E. 22%


Correct answer: B
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KarishmaB
XimeSol
As a result of a new promotion, a company increased its market share of sales of Product X from 6.6% to 8.8%. Assume that the total sales of Product X by all companies were constant. Which of the following is closest to the company's increase in sales of Product X as a result of the promotion?

A) 40%

B) 33%

C) 3O%

D) 25%

E) 22%

The options are too close here. The actual answer is 36.55 which can be considered to be closer to 40 than to 33. The percentage increase in the market share is not the same as the percentage increase in the sales. We would need to calculate
\(\frac{6.6+x}{100+x} = \frac{8.8}{100}\)
\(x = 2.412\)

Percentage increase = \(\frac{2.412}{6.6} * 100 = 36.55%\)
Karisha the question says that the total market remains the same. So you can assume that it gained market share whil an other lost market share. So the correct answer is actually 33%.
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