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Of the families in City X in 1994, 40 percent owned a person

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Manager
Joined: 11 Jan 2007
Posts: 186
Location: Bangkok
Of the families in City X in 1994, 40 percent owned a person  [#permalink]

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Updated on: 31 Jul 2013, 11:05
1
5
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Difficulty:

25% (medium)

Question Stats:

76% (02:03) correct 24% (02:37) wrong based on 330 sessions

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Of the families in City X in 1994, 40 percent owned a personal computer. The number of families in City X owning a computer in 1998 was 30 percent greater than it was in 1994, and the total number of families in City X was 4 percent greater in 1998 than it was in 1994. what percent of the families in City X owned a personal computer in 1998?

A. 50%
B. 52%
C. 56%
D. 70%
E. 74%

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Originally posted by jet1445 on 09 Jun 2007, 20:33.
Last edited by Bunuel on 31 Jul 2013, 11:05, edited 2 times in total.
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Joined: 17 May 2007
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09 Jun 2007, 20:46
5
The answer is A - 50%

Say a 100 families existed in 1994 then the number of families owning a computer in 1994 - 40
Number of families owning computer in 1998 = 40 * 130/100 = 52
Number of families in 1998 = 104

The percentage = 52/104 * 100 = 50%.
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Intern
Joined: 17 Dec 2012
Posts: 7
Concentration: Entrepreneurship, Finance
GMAT Date: 12-13-2013
GPA: 3.81
WE: Management Consulting (Consulting)
Re: Q37: Of the families in City X in 1994, 40 percent owned a  [#permalink]

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31 Jul 2013, 10:07
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1
jet1445 wrote:
Q37:
Of the families in City X in 1994, 40 percent owned a personal computer. The number of families in City X owning a computer in 1998 was 30 percent greater than it was in 1994, and the total number of families in City X was 4 percent greater in 1998 than it was in 1994. What percent of the families in City X owned a personal computer in 1998?

A. 50%
B. 52%
C. 56%
D. 70%
E. 74%

1994 = 40 families (40% of total)
1998 = 40 F * 30% = 12+40 = 52 families.

Population in 1994 = 100; 1998 = 104

==> 52/104 = 1/2 = 50%
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Re: Of the families in City X in 1994, 40 percent owned a person  [#permalink]

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16 Oct 2014, 00:20
1
Year .................. Family .................. Computer

1994 .................. 100 (Assume) ............. 40

1998 .................... 104 ......................... $$40 + 40 * \frac{30}{100} = 52$$

Answer = A$$= \frac{52}{104} * 100 = 50%$$
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Director
Joined: 23 Jan 2013
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Of the families in City X in 1994, 40 percent owned a person  [#permalink]

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09 May 2015, 07:53
clear algebra

(1.3*0.4x/1.04x)*100=50%

A
Intern
Joined: 27 Oct 2014
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Re: Of the families in City X in 1994, 40 percent owned a person  [#permalink]

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31 May 2015, 12:30
Using Smart Numbers is a good technique for this problem.

After calculating the percentage increase of families owning PC is 52, when you see the population go up, the percent owned in 1998 has to inversely go down.

Only answer A is below 52.
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Re: Of the families in City X in 1994, 40 percent owned a person  [#permalink]

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22 Mar 2019, 03:36
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Of the families in City X in 1994, 40 percent owned a person   [#permalink] 22 Mar 2019, 03:36
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