Bissoy.com
Doctors Medicines MCQs Q&A

Two vessels A and B contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8 : 5?

Two vessels A and B contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8 : 5? Correct Answer 7 : 9

Given :

Two vessels A and B contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively

The final mixture contains spirit and water in the ratio of 8 : 5. 

Calculations :

Spirit in mixture A = 5/7   (spirit : water = 5 : 2)

Spirit in mixture B = 7/13​   ((spirit : water = 7 : 6) 
Spirit in final mixture of C = 8/13     ((spirit : water = 8 : 5)

Now using allegation method 

[ alt="assamtea" src="//storage.googleapis.com/tb-img/production/21/09/assamtea.PNG" style="width: 141px; height: 228px;">

So ratio will be 7 : 9 

∴ Option 4 is the correct choice.

Related Questions

Two vessels A and B contain spirit and water mixed in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8 : 5 ?
In a large catering order apple mojito is prepared in two different vessels. Vessel 1 consists of 39 litres of apple pulp in 52 litres mixture and in second vessel water is 15 litres and mixture is 40 litres. These mixtures are mixed in a new vessel and final mixture consist water as 30% of mixture. In what ratio were the two mixtures mixed?
A 60% spirit solution is mixed with r% spirit solution in the ratio 1 : 3 such that a s% spirit solution is obtained. When a (s/3)% spirit solution is mixed with 55% spirit solution in equal ratio, an (r/2)% spirit solution is obtained. Which of the following can be determined? (A) Value of ‘r’ (B) Value of ‘s’ (C) Volume of the 60% spirit solution mixed initially (D) If 9 liters of r% spirit solution was mixed initially, what was the volume of the s% spirit solution thus obtained?
Two vessels A and B contain a mixture of acid and Water. In vessel A the ratio of acid and water is 2 ∶ 1 and in vessel B the ratio is 5 ∶ 1.Mixture from these two vessels are filled in another 42 litre vessel to contain a mixture of acid and water in the ratio of 5 ∶ 2. How much mixture is taken from vessel A?
There are two vessels A and B. Vessel A is containing 60L of Pure milk and vessel B is containing 28L of pure water. From vessel A, 8L of milk is taken out and poured into vessel B. Then, 6L of mixture (milk and water) is taken out from vessel B and poured into vessel A. What is the ratio of the quantity milk in vessel A to the quantity of pure water in vessel B?
Two vessels A and B contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ration 8 : 5 ?
Two vessels contain a mixture of milk and water. In the first vessel, the ratio of milk and water is 5 : 2 and in the second vessel, the ratio is 8 : 5. A 54 L vessel is filled from these vessels so as to contain a mixture of milk and water in the ratio of 9 : 4. How many litres are taken from the first vessel?
Two vessels contain a mixture of milk and water. In the 1st vessel, the ratio of milk and water is 8 ∶ 3 and in the 2nd vessel, this ratio is 5 ∶ 1. A big vessel of capacity 35 L is filled with these vessels so as to contain the mixture of milk and water in the ratio 4 ∶ 1. How many litres are taken from the 1st vessel?
First vessel contains mixture of milk and water in ratio of 1 ∶ 3. Second vessel contains mixture of milk and water in ratio of 4 ∶ 5. When this mixtures are mixed then ratio of milk and water in resultant mixture is 11 ∶ 19. Find the quantity of mixture mixed from First vessel if resultant mixture is of 60 litres.
There are two vessels A and B which contains mixture of sulphuric acid and nitrous oxide in the ratio of 7 : 2 and 3 : 4 respectively. Mixture of both vessels are mixed to obtain a mixture of 390 ml, in which quantity of nitrous oxide is 160ml. Find ratio of quantity of mixture in vessel a quantity of mixture in vessel B?