The milk and water in two vessels A and B are in the ratio 4:5 and 7:2 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel C consisting half milk and half water?

2: 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5: 1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

4: 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

7: 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
5: 1

Suppose in the vessels A $&$ B, one litre of liquid is present.

So, Amount of milk in vessel A = $\frac{4}{9}$ ; Amount of milk in vessel B = $\frac{7}{9}$

The required mixture in vessel C should be $\frac{1}{2}$ milk.

So, let the ratio be x: 1. Applying alligation:

$\frac{(\frac{5}{18})}{(\frac{1}{18})} = x : 1 \to x = 5.$

Suggest Corrections

Similar questions

Q. Two vessels A and B contain milk and water mixed in the ratio 4:3 and 2:3, respectively. In what ratio must these mixtures be mixed to form a new mixture containing half milk and half water?

Q. In two vessels A and B, there is mixture of milk and water. The ratio of milk and water in these vessels is 5:2 and 8:5, respectively. In what ratio these mixtures be mixed together, so that the ratio of milk and water in the new mixture becomes 9:4?

Q19. Two vessels A and B contain milk and water mixed in the ratio 4:3 and 2:3, respectively. In what ratio must these mixtures be mixed to form a new mixture containing half milk and half water?

Q. Two vessels

A

and

B

contain milk and water in the ratio of

5 : 2

and

2 : 3

. When these mixtures are mixed to form a new mixture containing half milk and half water, they must be taken in the ratio :

Q. Two vessels are full of milk with milk water ratio

1 : 3

and

3 : 5

respectively. If both are mixed in the ratio

3 : 2

, what is the ratio of milk and water in the new mixture?

Join BYJU'S Learning Program

The milk and water in two vessels A and B are in the ratio 4:5 and 7:2 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel C consisting half milk and half water?

The correct option is B 5: 1 Suppose in the vessels A & B, one litre of liquid is present. So, Amount of milk in vessel A =49 ; Amount of milk in vessel B = 79 The required mixture in vessel C should be 12 milk. So, let the ratio be x: 1. Applying alligation: (518)(118)=x:1 → x=5.