Question
In 2010, the total population increased by 50% over that in 2004. In 2004, foreigners from India were y% of the total population and this percentage increased by 10% in 2010. In 2010, foreigners from India as a percentage of total foreigners decreased by 20 % over that in 2004. What is y?
Answer: Option D
:
D
Let x be the total population in 2004.
So total population in 2010 = 1.5x
Foreigners from India in 2004 = xy100 and in 2010 = y+10100×1.5x
Foreigners from India as a percentage of total foreigners in 2004 = (yx100)(2x100)×100=50y
And that in 2010 = ((y+10)1.5x100)(5×1.5x100)×100=20y+200
The percentage is reduced by 20% over the given period.
50y - (20y + 200) = 20
y=7.33%
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:
D
Let x be the total population in 2004.
So total population in 2010 = 1.5x
Foreigners from India in 2004 = xy100 and in 2010 = y+10100×1.5x
Foreigners from India as a percentage of total foreigners in 2004 = (yx100)(2x100)×100=50y
And that in 2010 = ((y+10)1.5x100)(5×1.5x100)×100=20y+200
The percentage is reduced by 20% over the given period.
50y - (20y + 200) = 20
y=7.33%
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