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In western Europe, x bicycles were sold

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rsarashi Master | Next Rank: 500 Posts Default Avatar
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In western Europe, x bicycles were sold

Post 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

OAD

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Post 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.

Answer: D

_________________

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

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Post 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

OAD
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.

Correct answer: D

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...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.

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Thanked by: rsarashi

GMAT/MBA Expert

Post 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.

Answer: D

_________________

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

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Post 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

OAD
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.

Correct answer: D

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...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.

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