In a Mathematics test, the average marks of boys is $x \%$ and the average marks of girls is $y \%$ with $x \neq y$. If the average marks of all students is $z \%$, the ratio of the number of girls to the total number of students is
In a Mathematics test, the average marks of boys is $x \%$ and the average marks of girls is $y \%$ with $x \neq y$. If the average marks of all students is $z \%$, the ratio of the number of girls to the total number of students is
- [KVPY 2017]
- A
$\frac{z-x}{y-x}$
- B
$\frac{z-y}{y-x}$
- C
$\frac{z+y}{y-x}$
- D
$\frac{z+x}{y-x}$
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- [JEE MAIN 2023]