SSC CPO SI and ASI Model Paper 3

(4) Let the total quantity of mixturein vessel P = 1 litre
Quantity of ink in 1 litre mixturefrom vessel P $=\frac{4}{5}$litre
Quantity of water in 5 litre mixturefrom vessel P $=\frac{1}{5}$litre
Let the total quantity of mixture invessel Q = 1 litre
Quantity of ink in 1 litre mixturefrom vessel Q $=\frac{6}{11}$litre
Quantity of water in 1 litre mixturefrom vessel Q $=\frac{5}{11}$litre
Let x litre of mixture from vessel Pand y litre of mixture from vessel Qare added to make a new mixture invessel R
∴ According to the question,
$\frac{\frac{\frac{4\mathit{x}}{5}}{\mathit{x}}}{5}$+$\frac{\frac{\frac{6\mathit{y}}{11}}{5\mathit{y}}}{11}$$=\frac{7}{4}$
5⇒ 4(44x + 30y) = 7(11x + 25y)
⇒x : y = 5 : 9