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In a town $35.4 \%$ of the people are not literates, $27 \%$ have education up to primary school, $18.6 \%$ have education up to middle school. The people with education up to high school are twice the number of people with education up to Pre-University. Of the remaining, 660 are graduates. If the population of the town is 15000 , then what is the number of people with education up to high school?
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The correct answer is:
1460
No. of people whoare illiterates $=15000 \times \frac{34.5}{100}=5175$ No. of people who have education up to primaryschool
$=15000 \times \frac{27}{100}=4050$
Similarly, No. of peoplewho have education upto middle school $=2790$ Let the no. of people who have education upto high school $=x$ $\therefore$ According to the question. No. of people who have education upto pre-university
$=\frac{x}{2}$
So, Total no. of people who are not graduates
$=5175+4050+2790+x+\frac{x}{2}=12150+x+\frac{x}{2}$
Since, 660 are graduates, therefore
$15000-\left(12150+x+\frac{x}{2}\right)=660$
$\Rightarrow 15000-660=12150+\frac{3 x}{2}$
$\Rightarrow 2(15000-660)=24300+3 x$
$\Rightarrow 28680-24300=3 x$
$\Rightarrow \frac{4380}{3}=x \Rightarrow x=1460$
Hence, 1460 students have education upto high school.
$=15000 \times \frac{27}{100}=4050$
Similarly, No. of peoplewho have education upto middle school $=2790$ Let the no. of people who have education upto high school $=x$ $\therefore$ According to the question. No. of people who have education upto pre-university
$=\frac{x}{2}$
So, Total no. of people who are not graduates
$=5175+4050+2790+x+\frac{x}{2}=12150+x+\frac{x}{2}$
Since, 660 are graduates, therefore
$15000-\left(12150+x+\frac{x}{2}\right)=660$
$\Rightarrow 15000-660=12150+\frac{3 x}{2}$
$\Rightarrow 2(15000-660)=24300+3 x$
$\Rightarrow 28680-24300=3 x$
$\Rightarrow \frac{4380}{3}=x \Rightarrow x=1460$
Hence, 1460 students have education upto high school.
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