Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-38

In a mixture of 240 cc, the ratio of the volumes of water and glycerine is 1: 3. The quantity of water (in cc) that should be added to the mixture, so that the new ratio of the volumes of water and glycerine becomes 2 : 3, is [SSC (CGL) 2014]

A) 55 cc

B) 60 cc

C) 62.5 cc

D) 64 cc

Correct Answer: B

Solution :

(b) Given, total mixture \[=240\,\,cc\]

Ratio of water and glycerin \[=1:3\]

Let the quantity of water be x

and quantity of glycerin \[=3x\]

Then, \[x+3x=240\]

\[\Rightarrow \] \[4x=240\] \[\Rightarrow \] \[x=60\]

\[\therefore \]Quantity of water \[=60\,\,cc\]

and quantity of glycerin \[=3x=3\times 60=180\,cc\]

Now, according to the question,

New ratio of water and glycerin \[=2:3\]

Let x (cc) of water be added to make the required ratio.

Then, \[\frac{60+x}{180}=\frac{2}{3}\]

\[\Rightarrow \]\[180+3x=360\]\[\Rightarrow \]\[3x=180\]

\[\Rightarrow \]\[x=\frac{180}{3}\]\[\Rightarrow \]\[x=60\,cc\]