In two containers A and B milk and water are in ratio 7:6 and 3:7 respectivelty. Quantity of both the mixture mixed together in ration 4:3. What will be the ratio of milk and water in new mixture ?a)397 : 501b)399 : 513c)397 : 513d)379 : 539Correct answer is option 'C'. Can you explain this answer?

Question

Answer

Given:
Ratio of milk and water in container A = 7:6
Ratio of milk and water in container B = 3:7
Ratio in which both the mixture are mixed = 4:3

To find:
Ratio of milk and water in the new mixture

Solution:
Let the quantity of mixture from container A be 7x and 6x, and from container B be 3y and 7y, respectively.
Then, the ratio in which the mixtures are mixed = 4:3, which means that the total quantity of the mixture is 4x+3y.

Now, we can find the quantity of milk and water in each container separately as follows:

Quantity of milk in container A = 7x/(7+6) = 7x/13
Quantity of water in container A = 6x/(7+6) = 6x/13

Quantity of milk in container B = 3y/(3+7) = 3y/10
Quantity of water in container B = 7y/(3+7) = 7y/10

Total quantity of milk in the mixture = (7x/13) * (4/7) + (3y/10) * (3/7) = (28x+9y)/91
Total quantity of water in the mixture = (6x/13) * (4/7) + (7y/10) * (3/7) = (24x+21y)/91

Therefore, the ratio of milk and water in the new mixture is:
(28x+9y)/(24x+21y)

We know that the total quantity of the mixture is 4x+3y, so we can write:
(28x+9y)/(24x+21y) = (7/13) * (4x+3y)/(3/10) * (4x+3y)

Simplifying this expression, we get:
(28x+9y)/(24x+21y) = 28/39

Therefore, the ratio of milk and water in the new mixture is:
28:39 = 397:513

Hence, the correct answer is option (c) 397:513.

Answer

Similar SSC Doubts

2/5 Part of a mixture of 3 l is water and the rest is sugar syrup. Another mixture of 8 l contains 3/5 part water and the rest is sugar syrup. It both mixture are mixed together then what will be the ratio of water & sugar syrup in the new mixture?

Two vessels of equal capacity contains juice and water in the ratio of 5 1 and 5 7 respectively. The mixture of both the vessels are mixed and transferred into a bigger vessel. What is the ratio of juice and water in the new mixture?

The ratio of spirit and water in the two vessels is 5 : 1 and 3 : 7 respectively. In what ratio the liquid of both the vessels should be mixed such that a new mixture containing half spirit and half water is obtained?

A and B are two mixtures of cola and soda prepared by mixing them in the ratio of 4 3 and 5 3 respectively. Equal quantities of both mixtures are mixed to make a new mixture C. Find the quantity of soda if the total quantity of mixture C is the HCF of 110, 132 and 165.

A container contains mixture of milk and water in the ratio of 4 : 7. 8 litres of this mixture is replaced by water. The new ratio of milk and water becomes 4 : 9. Find the initial quantity of water in the mixture.

Top Courses for SSC

Suggested Free Tests

Related Content

Mock Test Series

Related Question Answers

Other Engg Branches

Related Exams

Company