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GMAT Club Around The World!!! In 2015, sales at Company X were 20% les

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Bunuel
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GMAT Club Around The World!!! In 2015, sales at Company X were 20% les [#permalink] New post   31 Dec 2020, 14:00
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In 2015, sales at Company X were 20% less than its sales in 2014. In 2016, sales were 30% greater than sales in 2015. By what percent did company X sales change from 2014 to 2016?

A. 10% decrease
B. 4% increase
C. 5% increase
D. 10% increase
E. 56% increase




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B
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TarunKumar1234
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Re: GMAT Club Around The World!!! In 2015, sales at Company X were 20% les [#permalink] New post   31 Dec 2020, 14:29
Given, 2014 2015 2016
100 (say) 80 80+80*30%= 104

So, increase in %= 104-100= 4%, I think B. :)
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BIDJI23
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Re: GMAT Club Around The World!!! In 2015, sales at Company X were 20% les [#permalink] New post   31 Dec 2020, 16:57
It is 4%? 100->80->104

Push B
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Re: GMAT Club Around The World!!! In 2015, sales at Company X were 20% les [#permalink] New post   31 Dec 2020, 16:59
In 2015, sales at Company X were 20% less than its sales in 2014. In 2016, sales were 30% greater than sales in 2015. By what percent did company X sales change from 2014 to 2016?

A. 10% decrease
B. 4% increase
C. 5% increase
D. 10% increase
E. 56% increase

Solution -

Let sales in 2014 be 100 units.
20% drop in sales in 2015

2015 sales will be 100 - 20% of 100 = 80 units.
30% increase in sales in 2016.

2016 sales will be 80 + 30% of 80 = 104 units.

Change of sales from 2014 to 2016 is 100 units to 104 units.
4% increase.

Answer should be Option B.

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Re: GMAT Club Around The World!!! In 2015, sales at Company X were 20% les [#permalink] New post   31 Dec 2020, 20:04
answer is b)4% increase

its given by formula a+b+ab/100 = 30-20 -30*20/100 = 4% increase
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Re: GMAT Club Around The World!!! In 2015, sales at Company X were 20% les [#permalink] New post   31 Dec 2020, 23:45
IMO B

let sales, \(S_{2014} = 100 units\)
\(S_{2015} = (1-0.2) * S_{2014} = 80units\)
\(S_{2016} = (1 + 0.3) * S_{2015} = 1.3 * 80 = 104\)
percent change from 2014 to 2016 = \(\frac{S_{2016} - S_{2014} }{ S_{2014}} * 100\)
= \(\frac{104 - 100 }{ 100}\) * 100
= 4% - option B
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Re: GMAT Club Around The World!!! In 2015, sales at Company X were 20% les [#permalink] New post   01 Jan 2021, 02:16
Let the sales in 2014 be 100,

So sales in
2015 = 100-20 = 80
2016 = 80+24 = 104

So in 2016 sales were 4% higher than that in 2014.

IMO Option B
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Re: GMAT Club Around The World!!! In 2015, sales at Company X were 20% les [#permalink] New post   02 Jan 2021, 05:07
Correct Answer B

In 2015, sales at Company X were 20% less than its sales in 2014. In 2016, sales were 30% greater than sales in 2015. By what percent did company X sales change from 2014 to 2016?

2014 -------------- 2015 ------------------------------ 2016
x --------------- x (1- 20/100) ------------ x*0.8*(1+30/100) = 1.04x

The sales in 2016 up by 4%.
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Re: GMAT Club Around The World!!! In 2015, sales at Company X were 20% les [#permalink] New post   02 Jan 2021, 23:00
Let the company X’s sale in 2014 be x
So in 2015 it will be = x*(0.8) (20% less than 2014)
In 2016 it will be = x*(0.8)*(1.30) (30% greater than 2015)
=x*(1.04)
Hence the value is increased by 4%

So the answer will be B
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Re: GMAT Club Around The World!!! In 2015, sales at Company X were 20% les [#permalink] New post   03 Jan 2021, 13:47
Bunuel wrote:
In 2015, sales at Company X were 20% less than its sales in 2014. In 2016, sales were 30% greater than sales in 2015. By what percent did company X sales change from 2014 to 2016?

A. 10% decrease
B. 4% increase
C. 5% increase
D. 10% increase
E. 56% increase




Happy New Year Bahrain, Belarus, Comoros, Djibouti, Eritrea, Ethiopia, Iraq, Kenya, Kuwait, Madagascar, Qatar, Russia, Saudi Arabia, Somalia, South Africa, Southern Sudan, Tanzania, Turkey, Uganda, and Yemen!

Dec 31 Event: GMAT Club Around The World!
(38 new questions posted every hour time zone on Dec 31!)



Let the 2014 sales be x.

Then change in 2016 sales from 2014 is: -20 (sales decrease) + 30 (sales increase) - 20*30/100 = +4.

Thus a 4% increase.

IMO option B is the answer.
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Re: GMAT Club Around The World!!! In 2015, sales at Company X were 20% les [#permalink]
03 Jan 2021, 13:47
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