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## In western Europe, x bicycles were sold

tagged by: Brent@GMATPrepNow

This topic has 4 expert replies and 0 member replies
rsarashi Master | Next Rank: 500 Posts
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#### In western Europe, x bicycles were sold

Tue Feb 07, 2017 9:36 am
In western Europe, x bicycles were sold in each of the years 1990 and 1993. The bicycle producers of Western Europe had a 42 percent share of this market in 1990 and a 33 percent share in 1993. Which of the following represents the decrease in the annual number of bicycles produced and sold in Western Europe from 1990 to 1993?

A) 9% of (x/100)
B) 14% of (x/100)
C) 75% of (x/100)
D) 9% of x
E) 14% of x

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### GMAT/MBA Expert

Scott@TargetTestPrep GMAT Instructor
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Wed Feb 15, 2017 9:41 am
rsarashi wrote:
In western Europe, x bicycles were sold in each of the years 1990 and 1993. The bicycle producers of Western Europe had a 42 percent share of this market in 1990 and a 33 percent share in 1993. Which of the following represents the decrease in the annual number of bicycles produced and sold in Western Europe from 1990 to 1993?

A) 9% of (x/100)
B) 14% of (x/100)
C) 75% of (x/100)
D) 9% of x
E) 14% of x
We are given that in 1990 the bicycle producers in Western Europe produced and sold 42 percent of the bicycles in that market, and in 1993 they produced and sold 33 percent of the bicycles in that market.

Thus, they produced 0.42(x) bicycles in 1990, and 0.33(x) bicycles in 1993.

The decrease in bicycles produced and sold in Western Europe from 1990 to 1993 was:

0.42(x) - 0.33(x) = 0.09x or 9 percent of x.

_________________

Scott Woodbury Stewart Founder & CEO
GMAT Quant Self-Study Course - 500+ lessons 3000+ practice problems 800+ HD solutions
5-Day Free Trial 5-DAY FREE, FULL-ACCESS TRIAL TTP QUANT

### GMAT/MBA Expert

Jay@ManhattanReview GMAT Instructor
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22 Aug 2016
Posted:
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Fri Feb 10, 2017 3:54 am
rsarashi wrote:
In western Europe, x bicycles were sold in each of the years 1990 and 1993. The bicycle producers of Western Europe had a 42 percent share of this market in 1990 and a 33 percent share in 1993. Which of the following represents the decrease in the annual number of bicycles produced and sold in Western Europe from 1990 to 1993?

A) 9% of (x/100)
B) 14% of (x/100)
C) 75% of (x/100)
D) 9% of x
E) 14% of x

Hi rsarashi,

Since we have to deal with percents, let us assume that the 100 numbers of bicycles were sold in W.E. in 1990 and in 1993.

Thus, market share in 1990 = 42% of 100 = 42;

And, market share in 1993 = 33% of 100 = 33

Decrease = 42 - 33 = 9.

Since this is a decrease on X = 100, we can rewrite 9 as 9% of X.

Beware of option A. it's incorrect. In option A, '%' is already taken into the consideration in 'X/100, there was no need of %.'

Relevant book: Manhattan Review GMAT Word Problems Guide

-Jay
_________________
Manhattan Review GMAT Prep

Locations: New York | Tokyo | Manchester | Geneva | and many more...

Thanked by: rsarashi

### GMAT/MBA Expert

Scott@TargetTestPrep GMAT Instructor
Joined
25 Apr 2015
Posted:
548 messages
Followed by:
3 members
43
Wed Feb 15, 2017 9:41 am
rsarashi wrote:
In western Europe, x bicycles were sold in each of the years 1990 and 1993. The bicycle producers of Western Europe had a 42 percent share of this market in 1990 and a 33 percent share in 1993. Which of the following represents the decrease in the annual number of bicycles produced and sold in Western Europe from 1990 to 1993?

A) 9% of (x/100)
B) 14% of (x/100)
C) 75% of (x/100)
D) 9% of x
E) 14% of x
We are given that in 1990 the bicycle producers in Western Europe produced and sold 42 percent of the bicycles in that market, and in 1993 they produced and sold 33 percent of the bicycles in that market.

Thus, they produced 0.42(x) bicycles in 1990, and 0.33(x) bicycles in 1993.

The decrease in bicycles produced and sold in Western Europe from 1990 to 1993 was:

0.42(x) - 0.33(x) = 0.09x or 9 percent of x.

_________________

Scott Woodbury Stewart Founder & CEO
GMAT Quant Self-Study Course - 500+ lessons 3000+ practice problems 800+ HD solutions
5-Day Free Trial 5-DAY FREE, FULL-ACCESS TRIAL TTP QUANT

### GMAT/MBA Expert

Jay@ManhattanReview GMAT Instructor
Joined
22 Aug 2016
Posted:
902 messages
Followed by:
18 members
470
Fri Feb 10, 2017 3:54 am
rsarashi wrote:
In western Europe, x bicycles were sold in each of the years 1990 and 1993. The bicycle producers of Western Europe had a 42 percent share of this market in 1990 and a 33 percent share in 1993. Which of the following represents the decrease in the annual number of bicycles produced and sold in Western Europe from 1990 to 1993?

A) 9% of (x/100)
B) 14% of (x/100)
C) 75% of (x/100)
D) 9% of x
E) 14% of x

Hi rsarashi,

Since we have to deal with percents, let us assume that the 100 numbers of bicycles were sold in W.E. in 1990 and in 1993.

Thus, market share in 1990 = 42% of 100 = 42;

And, market share in 1993 = 33% of 100 = 33

Decrease = 42 - 33 = 9.

Since this is a decrease on X = 100, we can rewrite 9 as 9% of X.

Beware of option A. it's incorrect. In option A, '%' is already taken into the consideration in 'X/100, there was no need of %.'

Relevant book: Manhattan Review GMAT Word Problems Guide

-Jay
_________________
Manhattan Review GMAT Prep

Locations: New York | Tokyo | Manchester | Geneva | and many more...

Thanked by: rsarashi

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