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Previous Year Question (PYQs)

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





Solution

Let total mathematics students be $M$, chemistry students be $C$, and both be $30$. \[ 0.1M=30 \Rightarrow M=300,\qquad 0.12C=30 \Rightarrow C=250. \] At least one $= M+C-\text{both}=300+250-30=520$.

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