SSC GD Constable 6 Feb 2025 Shift 1 Paper

Total weight of Rupesh, Mandar, and Ketan $=45\times 3=135\mathit{k}\mathit{g}$
Total weight of Rupesh and Mandar $=43\times 2=86\mathit{k}\mathit{g}$
Total weight of Mandar and Ketan $=45\times 2=90\mathit{k}\mathit{g}$
Let Mandar's weight $=\mathit{M}$, Rupesh's weight $=\mathit{R}$, and Ketan's weight $=\mathit{K}$
$\mathit{R}+\mathit{M}+\mathit{K}=135$
$\mathit{R}+\mathit{M}=86$
$\mathit{M}+\mathit{K}=90$

$\Rightarrow \mathit{R}=86-\mathit{M}$
From $\mathit{M}+\mathit{K}=90$ :
$\Rightarrow \mathit{K}=90-\mathit{M}$
Substitute R and K into $\mathit{R}+\mathit{M}+\mathit{K}=135$ :
$\Rightarrow \left(86-\mathit{M}\right)+\mathit{M}+\left(90-\mathit{M}\right)=135$
$\Rightarrow 86+90-\mathit{M}=135$
$\Rightarrow 176-\mathit{M}=135$
$\Rightarrow \mathit{M}=176-135$
$\Rightarrow \mathit{M}=41$