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:
74 comments Page 7 of 8.
B.M. Nasim Reza Anik said:
4 years ago
If 1 litre is drawn from the 1st container, we get 0. 25L water and 0. 75L milk and if 1 litre is drawn from the 2nd container, we get 0.5L water and 0.5L milk.
By combining 1L from each of the two containers, we get 0. 75L water and 1.25L milk. In which water to milk is in the ratio of 3:5.
Thus we need 2+2+2+2+2+2 to get 12L in total and 6L from each of the containers.
By combining 1L from each of the two containers, we get 0. 75L water and 1.25L milk. In which water to milk is in the ratio of 3:5.
Thus we need 2+2+2+2+2+2 to get 12L in total and 6L from each of the containers.
(3)
Hardik said:
4 years ago
The initial ratio of water to milk in can 1 is 1:3.
Initial ratio of water to milk in can 2 is 1:1.
If we add both then we get the ratio of water to milk 2:4.
It is said that this ratio becomes 3:5.
So from 2:4, it becomes 3:5.
As we can see there is an equal amount of change 3-2 = 1 and 5-4 = 1.
Therefore the quantity also should be in the ratio of 1:1.
Hence the answer is 6:6.
Initial ratio of water to milk in can 2 is 1:1.
If we add both then we get the ratio of water to milk 2:4.
It is said that this ratio becomes 3:5.
So from 2:4, it becomes 3:5.
As we can see there is an equal amount of change 3-2 = 1 and 5-4 = 1.
Therefore the quantity also should be in the ratio of 1:1.
Hence the answer is 6:6.
(71)
Shivam said:
4 years ago
@Hardik.
Nice explanation!
Nice explanation!
XiYo said:
4 years ago
Nice Explaination @Hardick!
Cosmi said:
4 years ago
Ans :
For Each liter of the mixture in A we can see 0.25l of Water and 0.75l of Milk.
For Each liter of the mixture in B There will be 0.5l of Water and 0.5l of Milk.
Let x liter of mixture taken from A and y liter of mixture taken from B.
WKT the final ratio should be 3:5 and We need to find how much liters should be taken from both A and B.
Water/Milk = 0.25x + 0.75y/0.75x + 0.5y =3/5,
===>after simplification x = y ..take equal amount of liters in A and B that makes 12l.
For Each liter of the mixture in A we can see 0.25l of Water and 0.75l of Milk.
For Each liter of the mixture in B There will be 0.5l of Water and 0.5l of Milk.
Let x liter of mixture taken from A and y liter of mixture taken from B.
WKT the final ratio should be 3:5 and We need to find how much liters should be taken from both A and B.
Water/Milk = 0.25x + 0.75y/0.75x + 0.5y =3/5,
===>after simplification x = y ..take equal amount of liters in A and B that makes 12l.
(9)
Shrti said:
4 years ago
I can't understand please explain in simplest way.
(3)
Kirthi said:
4 years ago
How it comes 3/4 in that? Please explain me.
(5)
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.
(7)
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.
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)
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.
(15)
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