###
**In a class, the average score of girls in an examination is 73 and that of boys is 71. The average score for the whole class is 71.8. Find the percentage of girls :**

A. 40%
B. 50%
C. 55%
D. 60%
**Answer: Option A**

## Show Answer

Solution(By Apex Team)

$\begin{array}{l}\text{Let the number of girls = x}\\
\text{And, the number of boys = y}\\
\text{According to the question,}\\
\text{73x + 71y = 71.8 (x + y)}\\
\text{1.2x = 0.8y}\\
\Rightarrow\Large\frac{x}{y}=\frac{2}{3}\\
\therefore\text{Girls}\%=\frac{2}{2+3}\times100\\
=\frac{2}{5}\times100\\
=40\%\end{array}$

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