Question : In a class of 60 students, the ratio of girls to boys is 2 : 3. If 20 more girls join the class, then what is the new number of girls in the class?
Option 1: 45
Option 2: 44
Option 3: 50
Option 4: 56
Correct Answer: 44
Solution :
Given: In a class of 60 students, the ratio of girls to boys is 2 : 3.
Let the number of girls and boys be $2x$ and $3x$ respectively.
According to the question,
$2x+3x=60$
⇒ $x=12$
So, the number of girls = (12 × 2) = 24
If 20 more girls join, the number of girls = 24 + 20 = 44
Hence, the correct answer is 44.
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