A vessel is filled with liquid, 3 parts of which are water and 5 parts are syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
Answer & explanation
Correct answer: option 3
Water Syrup Total
initial Ratio 3 : 5 = 8
Ratio after drawn off 3 : 5 = 8 ........(i)
Ratio after water added 1 : 1 = 2 ........(ii)
In (i) and (ii) syrup should be same because in these steps only water is added. Therefore, (ii) × 5
Water Syrup Total
Ratio after drawn off 3 : 5 = 8
Ratio after water added 5 : 5 = 10
+ 2 10 (Final/initial Qty.
Mixture to be removed = \(\frac{2}{10}\) = \(\frac{1}{5}\)