SSC CGL 18 Aug 2021 Shift 3 Paper

The ratio of $\mathit{x}$ and $\mathit{y}$ in Alloy $\mathit{A}=5:2$
The Ratio of $\mathit{x}$ and $\mathit{y}$ in Alloy $\mathit{B}=3:4$.
Alloy $\mathit{C}$ prepared by mixing $\mathit{A}$ and $\mathit{B}$
$=4:5.$
Quantity of metal $\mathit{x}$ in Alloy $\mathit{A}=\frac{5}{7}$
Quantity of metal $\mathit{y}$ in Alloy $\mathit{A}=\frac{2}{7}$
Quantity of metal $\mathit{x}$ in Alloy $\mathit{B}=\frac{3}{7}$
Quantity of metal $\mathit{y}$ in Alloy $\mathit{B}=\frac{4}{7}$
The ratio of $\mathit{x}$ and $\mathit{y}$ in Alloy $\mathit{C}$
$=\frac{\left(\frac{5}{7}\right)\times 4+\left(\frac{3}{7}\right)\times 5}{\left(\frac{2}{7}\right)\times 4+\left(\frac{4}{7}\right)\times 5}$
$=\frac{\frac{20}{7}+\frac{15}{7}}{\frac{8}{7}+\frac{20}{7}}=\frac{\frac{35}{7}}{\frac{28}{7}}=\frac{35}{28}=\frac{5}{4}$
Quantity of $\mathit{y}$ in Alloy $\mathit{C}=\frac{4}{9}$

$=44\frac{4}{9}\%$