Question

The number of students who take both the subjects Mathematics and Chemistry is $30$. This represents $10\%$ of the enrollment in Mathematics and $12\%$ of the enrollment in Chemistry. How many students take atleast one of these two subjects?

• A. $520$
• B. $490$
• C. $560$
• D. $480$
• E. $540$

Answer 1

The correct option is A $520$

Let number of students taken Mathematics $=x$ and

number of students taken Chemistry $=y$

According to question,

$0.10x=0.12y=30$

Solving for $x$ and $y$ we get,

$0.10x=30$ and $0.12y=30$

$x=300$ and $y=250$

Total number of students taken atleast one of these two subjects

$=300+250-30=520$