The diluted wine contains only 8 liters of wine and the rest is water. A new mixture whose concentration is 30%, is to be formed by replacing wine. How many liters of mixture shall be replaced with pure wine if there was initially 32 liters of water in the mixture ?

The diluted wine contains only 8 liters of wine and the rest is water. A new mixture whose concentration is 30%, is to be formed by replacing wine. How many liters of mixture shall be replaced with pure wine if there was initially 32 liters of water in the mixture ? Correct Answer 5

           Wine                         Water

            8L                              32L

            1                :               4

           20 %                           80% (original ratio)

           30 %                           70% (required ratio)

 

In  ths case, the percentage of water being reduced when the mixture is being replaced with wine.

 

so the ratio of left quantity to the initial quantity is 7:8

 

Therefore , 78=1-K40

 

=> K = 5 Lit

Related Questions

The following questions have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. A diluted alcohol solution has 8 litres of alcohol and the rest is water. Find the amount of this solution which should be replaced with pure alcohol. Statement I: A new solution which has 30% alcohol concentration is to be formed. Statement II: The amount of final mixture is 40 litres. Statement III: The amount of water in the initial mixture was 32 litres.