Aptitude - Alligation or Mixture - Discussion

Discussion Forum : Alligation or Mixture - General Questions (Q.No. 4)
4.
A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?
4 litres, 8 litres
6 litres, 6 litres
5 litres, 7 litres
7 litres, 5 litres
Answer: Option
Explanation:

Let the cost of 1 litre milk be Re. 1

Milk in 1 litre mix. in 1st can = 3 litre, C.P. of 1 litre mix. in 1st can Re. 3
4 4

Milk in 1 litre mix. in 2nd can = 1 litre, C.P. of 1 litre mix. in 2nd can Re. 1
2 2

Milk in 1 litre of final mix. = 5 litre, Mean price = Re. 5
8 8

By the rule of alligation, we have:

C.P. of 1 litre mixture in 1st can    C.P. of 1 litre mixture in 2nd can
3
4
Mean Price
5
8
1
2
1
8
1
8

Ratio of two mixtures = 1 : 1 = 1 : 1.
8 8

So, quantity of mixture taken from each can = 1 x 12 = 6 litres.
2

Discussion:
74 comments Page 5 of 8.

ANIL KUMAR JAT said:   1 decade ago
With the help of option

M W
6 3 : 1
6 1 : 1
M=3+4.5=7.5
W=3+1.5=4.5

THERFORE W:M=4.5:7.5=3:5 IS GIVEN SO ANSWER 6,6 IS CORRECT.

Jamshaid said:   3 years ago
Yes, right @Muslih.

Water by mixing 2 solutions:

1/3 * X + 1/1 * (12-X) = 3/5 * 12,
X = 7.2 L,
12-X = 4.8 L, so D is the right option.
(4)

Parvy Govil said:   10 years ago
Let x litres of A and y litres of B is extracted x+y = 12.

Milk quantity = 1/5x+1/2y = 3/5(4/5x+1/2 y).

x = 5 litres.
y = 7 litres.

Sridharsan said:   8 years ago
Actually, we need 12 ltrs of milk, here where is 12 ltr of milk, 6+6=12 (it is a mix, not purely milk).


Please explain in detail.

Dhananjay said:   9 years ago
Can somebody help me do the same sum with ratios 2:1, 1:3 and final needed ratio 1:1 the ratios being milk:water in the mixture.

Sasi said:   5 years ago
x -> quantity from A.
y -> quantity grom B.
x + y = 12;
0.25x + 0.5y = (3/8)*12.
Solving for x and y we get an answer.
(1)

Kailash chandra said:   1 decade ago
Let,
25+50=75 (water).
75+50=125(milk).

75/125=3/5.
3/5=3/5.

Obviously mix ratio 1:1.
So, 12 lit=6 and 6.
(1)

Kabir said:   8 years ago
12 liter milk or mix. I am confused. Is this question in right mood. Please anyone explain the question.

Dinesh said:   9 years ago
I think the questions is wrong because 12 is not only milk mixture, 12 is a total mixed mixture.

Sri Divya said:   1 decade ago
Hi friends, Please explain how 5/8 became the mean price?

How to calculate mean price?


Post your comments here:

Your comments will be displayed after verification.