MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Quantitative Aptitude

Mixture & Alligations

The ratio of ...

Question

The ratio of the volume of three buckets is 3:4:5. buckets contains the mixture of water and alcohol. if the mixture contains water and alcohol in the ratio 1:4,1:3 and 2:5 respectively then find the ratio of water and alcohol when the mixture in all containers are poured in fourth container.

Open in App

Solution

Let the volumes be 3x, 4x, and 5x
$3 x = 1 : 4 (W a t e r) \frac{3 x}{1 + 4} \times 1 = \frac{3 x}{5} A l c o h o l \frac{3 x}{1 + 4} \times 4 = \frac{12 x}{5}$
$4 x = 1 : 3 (W a t e r) \frac{4 x}{1 + 3} \times 1 = \frac{4 x}{4} = x A l c o h o l \frac{4 x}{1 + 3} \times 3 = \frac{12 x}{4} = 3 x$
$5 x = 2 : 5 (W a t e r) \frac{5 x}{7} \times 2 = \frac{10 x}{7} A l c o h o l \frac{5 x}{7} \times 5 = \frac{25}{7} x$
Total water
$\frac{3 x}{5} + x + \frac{10 x}{7} = \frac{21 x + 35 x + 50 x}{35} = \frac{106 x}{35}$
Total Alcohol
$\frac{12 x}{5} + 3 x + \frac{25 x}{7} = \frac{84 x + 105 x + 125 x}{35} = \frac{314 x}{35}$
Overall ratio
$= \frac{\frac{106 x}{35}}{\frac{314 x}{35}} = \frac{106}{314} = \frac{53}{157}$

Suggest Corrections

thumbs-up

6

Similar questions

Q. Three containers have their volumes in the ratio

3 : 4 : 5

. They are full of mixtures of milk and water. The mixtures contain milk and water in the ratio of

(4 : 1), (3 : 1)

(5 : 2)

respectively. The contents of all these three containers are poured into a fourth container. The ratio of milk and water in the fourth container is-

Q. Three containers have their volumes in the ratio 3: 4 : 5. They are full of mixtures of milk and water. The mixtures contain milk and water in the ratio of (4: 1), (3 : 1) and (5 : 2) respectively. The contents of all these three containers are poured into a fourth container. The ratio of milk and water in the fourth container is

Q. Three containers, A, B and C have the mixture of alcohol and water in the ratio 5 : 7, 7 : 2 and 3 : 5, respectively. If all the mixtures of all three vessels are poured into a single vessel, then the ratio of the total quantity of alcohol to water will be

Q. Three containers have their volumes in the ratio

3 : 4 : 5 .

They are full of mixtures of milk and water. The mixtures contain milk and water in the ratio of

(4 : 1), (3 : 1)

(5 : 2)

respectively. The ratio of milk and water in the fourth container which contains mixture of all the above three mixtures is

Q. A mixture contains alcohol and water in the ratio

4 :

5 l i t r e s

of water is added to the mixture, the ratio becomes

4 : 5 .

Find the quantity of alcohol in the given mixture.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Averages and Alligations Concepts

QUANTITATIVE APTITUDE

Watch in App

explore_more_icon

Explore more

Mixture & Alligations

Other Quantitative Aptitude

Join BYJU'S Learning Program

CrossIcon