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The graph shows the percent changes in the annual city tax r

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The graph shows the percent changes in the annual city tax r [#permalink] New post 05 Mar 2017, 13:07
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The graph shows the percent changes in the annual city tax revenue for five cities from 1990 to 1995 and from 1995 to 2000. If the annual tax revenue in City B was $800,000 in 1990, what was the annual tax revenue in City B in 2000 ?

A) $578,000

B) $680,000

C) $782,000

D) $800,000

E) $920,000
[Reveal] Spoiler: OA

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GRE 1: 323 Q167 V156
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Re: The graph shows the percent changes in the annual city tax r [#permalink] New post 11 Mar 2017, 21:39
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Explanation

We start with 1990 to 1995. According to the graph, City B suffered a 15% decrease in this time frame. Knowing the tax revenue in 1990 was 800,000, you can find the tax revenue in 1995 (x) using the percent change formula:

Decrease = Original number - New number
Decrease = 800,000 - x

Percent change = decrease \div original number \times 100

15 = (800,00 - x) \div 800,000 \times 100.

\frac{15}{100} = (800,00 - x) \div 800,000

\frac{(800,000)(15)}{100} = 800,00 - x

120,000 = 800,00 - x

-680,000 = -x

680,000 = x

This value, 680,000, is the annual tax revenue in 1995. It experienced a 15% decrease and fell from 800,000 in 1990 to 680,000 in 1995.

Now we need to find the annual tax revenue in 2000. According to the graph, City B experienced a 15% increase from 1995 (680,000) to 2000 (?). Again, use the percent change formula:

Increase = New number – Original number
Increase = y - 680,000
Percent change = increase \div original number \times 100

15 = (y - 680,000) \div 680,000 \times 100

\frac{15}{100} = (y - 680,000) \div 680,000

\frac{(680,000)(15)}{100}= y - 680,000

102,000 = y - 680,000

782,000 = y

This value, 782,000, is the annual tax revenue in 2000. It experienced a 15% increase and raised from 680,000 in 1995 to 782,000 in 2000.

Hence option C is correct.
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Re: The graph shows the percent changes in the annual city tax r [#permalink] New post 21 Apr 2017, 12:31
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Given that Annual tax revenue for city B in 1990 is $800,000 .

So, the total tax revenue for city in 2000 would be = $800,000 X (15% amount decrease in 1990-1995) X (15% amount increase in 1995-2000)
= $800,000 X .85 X 1.15
= $782,000
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