Question:

The number of students who take both the subjects mathematics and chemistry is 30. This represents 10% of the enrolment in mathematics and 12% of the enrolment in chemistry. How many students take at least one of these two subjects ?

Updated On: Jul 7, 2022
  • 520
  • 490
  • 560
  • 480
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The Correct Option is A

Solution and Explanation

Let $x$ be the number of students who take mathematics and $y$ be the number of students who take chemistry.
$30=\frac{10}{100}\left(x+30\right)$ $ \Rightarrow x=270$ Similarly, $30 = \frac{12}{100}\left(y+30\right)$ $\Rightarrow y= 220$ Number of students who take atleast one of these two subjects $= 270 + 220 + 30 = 520 $
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