Question : A vessel is filled with liquid, 5 parts of which are water and 11 parts syrup. What part of the mixture must be drawn off and replaced with water so that the mixture may be syrup and water in the ratio 3 : 2?
Option 1: $\frac{14}{45}$
Option 2: $\frac{27}{35}$
Option 3: $\frac{36}{65}$
Option 4: $\frac{7}{55}$
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: $\frac{7}{55}$
Solution : 5 parts water and 11 parts syrup (considering the unit volume of the mixture) Water = $\frac{5}{16}$ and syrup = $\frac{11}{16}$ Let $x$ amount of liquid is replaced by water. Water = $\frac{5x}{16}$ and syrup = $\frac{11x}{16}$ According to the question, $\frac{\frac{11}{16}-\frac{11x}{16}}{\frac{5}{16}+x-\frac{5x}{16}}=\frac{3}{2}$ Or, $\frac{\frac{11}{16}-\frac{11x}{16}}{\frac{5}{16}+\frac{11x}{16}}=\frac{3}{2}$ Or, $\frac{15}{16}+\frac{33x}{16}=\frac{22}{16}-\frac{22x}{16}$ Or, $33x+22x=22-15$ Or, $x=\frac{7}{55}$ Hence, the correct answer is $\frac{7}{55}$.
Candidates can download this ebook to know all about SSC CGL.
Admit Card | Eligibility | Application | Selection Process | Preparation Tips | Result | Answer Key
Question : A drum contains 80 litres of ethanol. 20 litres of this liquid is removed and replaced with water. 20 litres of this mixture is again removed and replaced with water. How much water (in litres) is present in this drum now?
Question : A can of water and milk mixture contains 60% milk. A part of this mixture is replaced by another mixture containing 50% milk and the percentage of milk was found to be 52%. The quantity of mixture replaced is:
Question : Find the fraction which bears the same ratio to $\frac{1}{27}$ that $\frac{3}{7}$ does to $\frac{5}{9}$.
Question : 20 litres of a mixture contains 20% alcohol and the rest is water. If 4 litres of water is mixed in it, the percentage of alcohol in the new mixture will be:
Question : In a mixture of 55 litres fruit juice and water are in the ratio of 4 : 1. How much water (in litres) must be added to make the mixture ratio 2 : 1?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile