SSC Sample Paper Mock Test-8 SSC CGL Tear-II Paper-1

40 L of a mixture of milk and water contains 10% of water, the water to be added, to make the water content 20% in the new mixture is

A)     6 L

B) 6.5 L

C) 5.5 L

D) 5 L

Correct Answer: D

Solution :

Water content in 40 L of mixture \[=40\times \frac{10}{100}=4\,\,L\]

\[\therefore \]Milk content \[=40-4=36\,\,L\]

Let x L of water is mixed.

\[\therefore \] \[\frac{4+x}{40+x}=\frac{20}{100}\]

\[\Rightarrow \] \[\frac{4+x}{40+x}=\frac{1}{5}\]

\[\Rightarrow \] \[20+5x=40+x\]

\[\Rightarrow \] \[4x=20\]

\[\Rightarrow \] \[x=5\,\,\text{L}\]