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• ### $450 Tuition Credit & Official CAT Packs FREE February 15, 2019 February 15, 2019 10:00 PM EST 11:00 PM PST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) • ### Free GMAT practice February 15, 2019 February 15, 2019 10:00 PM EST 11:00 PM PST Instead of wasting 3 months solving 5,000+ random GMAT questions, focus on just the 1,500 you need. # In a certain city, the average income for a family of four rose from  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Math Expert Joined: 02 Sep 2009 Posts: 52905 In a certain city, the average income for a family of four rose from [#permalink] ### Show Tags 31 Jan 2018, 01:31 00:00 Difficulty: 25% (medium) Question Stats: 81% (01:23) correct 19% (01:43) wrong based on 39 sessions ### HideShow timer Statistics In a certain city, the average income for a family of four rose from$12,200 in 1980 to $16,300 in 1986. This represents an increase of approximately (A) 4% (B) 25% (C) 33 1/3 % (D) 40% (E) 60% _________________ Senior PS Moderator Joined: 26 Feb 2016 Posts: 3339 Location: India GPA: 3.12 In a certain city, the average income for a family of four rose from [#permalink] ### Show Tags 31 Jan 2018, 01:52 1 Bunuel wrote: In a certain city, the average income for a family of four rose from$12,200 in 1980 to $16,300 in 1986. This represents an increase of approximately (A) 4% (B) 25% (C) 33 1/3 % (D) 40% (E) 60% Since the average income rose from$12200 to $16300, the rise is$4100(16300 - 12200)

This represents an increase of $$\frac{4100}{12200} * 100 = \frac{400000}{12000}$$ = approximately $$33\frac{1}{3}$$% (Option C)
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Re: In a certain city, the average income for a family of four rose from  [#permalink]

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31 Jan 2018, 04:23
1
Bunuel wrote:
In a certain city, the average income for a family of four rose from $12,200 in 1980 to$16,300 in 1986. This represents an increase of approximately

(A) 4%

(B) 25%

(C) 33 1/3 %

(D) 40%

(E) 60%

Solution

• Initial average income $$= 12,200$$

• Final average income $$= 16,300$$

• Thus, percentage increase $$= (\frac{Final}{Initial} – 1) * 100$$

o Percentage increase $$= (\frac{16300}{12200} – 1) * 100 = \frac{41}{122} * 100 = \frac{40}{120} *100 = 33 \frac{1}{3}$$%

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Re: In a certain city, the average income for a family of four rose from  [#permalink]

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31 Jan 2018, 04:39
Bunuel wrote:
In a certain city, the average income for a family of four rose from $12,200 in 1980 to$16,300 in 1986. This represents an increase of approximately

(A) 4%

(B) 25%

(C) 33 1/3 %

(D) 40%

(E) 60%

33 1/3 %

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Re: In a certain city, the average income for a family of four rose from  [#permalink]

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31 Jan 2018, 09:08
Bunuel wrote:
In a certain city, the average income for a family of four rose from $12,200 in 1980 to$16,300 in 1986. This represents an increase of approximately

(A) 4%

(B) 25%

(C) 33 1/3 %

(D) 40%

(E) 60%

Percentage increase = $$\frac{(New - Old)}{Old}$$ x 100 =$$\frac{(16300 - 12200)}{12200}$$ x100
= $$\frac{4100}{12200}$$ x100 = Approx. $$\frac{1}{3}$$ x100 = 33 $$\frac{1}{3}$$%

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Re: In a certain city, the average income for a family of four rose from  [#permalink]

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31 Jan 2018, 10:04
Bunuel wrote:
In a certain city, the average income for a family of four rose from $12,200 in 1980 to$16,300 in 1986. This represents an increase of approximately

(A) 4%

(B) 25%

(C) 33 1/3 %

(D) 40%

(E) 60%

$$\frac{(16,300 - 12,200 )}{12,200}*100$$

= $$33 \frac{1}{3}$$ % , Answer must be (C)

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Re: In a certain city, the average income for a family of four rose from  [#permalink]

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02 Feb 2018, 11:03
Bunuel wrote:
In a certain city, the average income for a family of four rose from $12,200 in 1980 to$16,300 in 1986. This represents an increase of approximately

(A) 4%

(B) 25%

(C) 33 1/3 %

(D) 40%

(E) 60%

We can use the percent change formula (New - Old)/Old x 100:

(16,300 - 12,200)/12,200 x 100 = 4100/12200 x 100 ≈ 4,000/12,000 x 100 = ⅓ x 100 = 33 1/3 %

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Re: In a certain city, the average income for a family of four rose from  [#permalink]

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08 Feb 2018, 19:36
$12,200 in 1980 ,$16300 in 1986. Difference is \$4100.

Change = (4100/12,200) * 100 = 33 1/3%

Ans: C
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Re: In a certain city, the average income for a family of four rose from   [#permalink] 08 Feb 2018, 19:36
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