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?
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 | ||||||||
|
Mean Price
|
|
||||||
|
|
|||||||
 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:
76 comments Page 4 of 8.
Vikas said:
1 decade ago
Let x and y liters from the can to be mixed to make 12 liters of milk.
Can1 has x/4 (water) and 3x/4 (milk).
Can2 has y/2 (water) and y/2 (milk).
So new ratio of water to milk is.
(x/3+y/2) / (3x/4+y/2) =3/5.
And x+y=12.
X=6 and y=6.
Can1 has x/4 (water) and 3x/4 (milk).
Can2 has y/2 (water) and y/2 (milk).
So new ratio of water to milk is.
(x/3+y/2) / (3x/4+y/2) =3/5.
And x+y=12.
X=6 and y=6.
Vivek kumar said:
1 decade ago
If we take mixture of both the can be x.
Than (x/4+x/2)/(3x/4 + x/2) = 3x/5x = 3/5.
The ratio comes 3/5 only if we have equal amount of milk(x here). So, according to question,
x+x=12;
2x=12.
x = 6.
12-6 = 6.
So, Answer is 6, 6.
Than (x/4+x/2)/(3x/4 + x/2) = 3x/5x = 3/5.
The ratio comes 3/5 only if we have equal amount of milk(x here). So, according to question,
x+x=12;
2x=12.
x = 6.
12-6 = 6.
So, Answer is 6, 6.
(1)
Sravani said:
8 years ago
So in this problem,
5/8 is taken as the total mixture is in the ratio 3:5(water:milk).
so as we are calculating for milk quantity in the aligation process, the milk quantity is according to ratio 5/3+5=5/8.
Hope you understand this.
5/8 is taken as the total mixture is in the ratio 3:5(water:milk).
so as we are calculating for milk quantity in the aligation process, the milk quantity is according to ratio 5/3+5=5/8.
Hope you understand this.
Moncy said:
2 decades ago
If it is 6litres of milk and 6litres of water making 12litres of the mix,then does not it mean that milk and water is 50% and 50%??how will it be in the ratio 3:5 to satisfy the requirement??Please explain this..
Amisha said:
1 decade ago
Can1 75% milk Can2 50% milk
mean 62.5%(3:5,so milk = 5/8*100 = 62.5)
12.5 12.5
so, ratio is = 1:1 so, in 12 lit mixture 6lit from 1can and 6 lit from 2 can
mean 62.5%(3:5,so milk = 5/8*100 = 62.5)
12.5 12.5
so, ratio is = 1:1 so, in 12 lit mixture 6lit from 1can and 6 lit from 2 can
Thudi said:
4 years ago
Calculating the milk proportion.
=>(dearer_mixture - mean) / (mean - cheaper_mixture),
=>(75%-(5/8)) / ((5/8) - 50%),
=>(6-5)/(5-4) = 1/1 or 1:1,
from milk ratio of (1/2) = 1/2 * 12 = 6litres.
=>(dearer_mixture - mean) / (mean - cheaper_mixture),
=>(75%-(5/8)) / ((5/8) - 50%),
=>(6-5)/(5-4) = 1/1 or 1:1,
from milk ratio of (1/2) = 1/2 * 12 = 6litres.
(9)
Sabarinath S said:
9 years ago
Easy method: Take from options
1. Eliminate all answer whose sum is not 12L (here all r 12).
2. 3x/5x new ratio , take option A gives 3 * 4/5 * 8 not equal to 3 : 5.
So, b) 3 * 6/5 * 6 is 3 : 5.
1. Eliminate all answer whose sum is not 12L (here all r 12).
2. 3x/5x new ratio , take option A gives 3 * 4/5 * 8 not equal to 3 : 5.
So, b) 3 * 6/5 * 6 is 3 : 5.
Charan said:
1 decade ago
Lets take total in terms of mixture in x & y
new water mixture = x/4+x/2
milk = 3y/4 + y/2
ratio comes out as x:y = 3:5
thats its self gives the new mixture
2x=12 or 2y=12
6ltr n 6ltr
new water mixture = x/4+x/2
milk = 3y/4 + y/2
ratio comes out as x:y = 3:5
thats its self gives the new mixture
2x=12 or 2y=12
6ltr n 6ltr
Yuhi said:
9 years ago
The ratio given is 3 : 5 water to milk means 5 parts of milk and 3 parts of water in total 8 parts (3 + 5). So mean here is 5/8 because we need to find out the milk percent.
Deep singh said:
3 years ago
=>(dearer_mixture - mean) / (mean - cheaper_mixture),
=>(75%-(5/8)) / ((5/8) - 50%),
=>(6-5)/(5-4) = 1/1 or 1:1,
from milk ratio of (1/2) = 1/2 * 12 = 6litres.
=>(75%-(5/8)) / ((5/8) - 50%),
=>(6-5)/(5-4) = 1/1 or 1:1,
from milk ratio of (1/2) = 1/2 * 12 = 6litres.
(16)
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers