Aptitude - Alligation or Mixture - Discussion
Discussion Forum : Alligation or Mixture - General Questions (Q.No. 6)
6.
A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:
4%
6
%
%20%
25%
Answer: Option
Explanation:
Let C.P. of 1 litre milk be Re. 1
Then, S.P. of 1 litre of mixture = Re. 1, Gain = 25%.
| C.P. of 1 litre mixture = Re. |  |
100 | x 1 |  |
= | 4 |
| 125 | 5 |
By the rule of alligation, we have:
| C.P. of 1 litre of milk C.P. of 1 litre of water | |||||
| Re. 1 | Mean Price
| 0 | |||
|
|
||||
 Ratio of milk to water = |
4 | : | 1 | = 4 : 1. |
| 5 | 5 |
| Hence, percentage of water in the mixture = | |
1 | x 100 | % |
= 20%. |
| 5 |
Discussion:
65 comments Page 7 of 7.
Moutushi Saha said:
3 years ago
How do they determine 4/5 is the mean price of milk and water? We have found 4/5 as the cost price of the mixture. Then how it become the mean price?
Please explain.
Please explain.
(4)
Pooju said:
3 years ago
@Vikas Rawat.
Thank you you explained very well.
Thank you you explained very well.
(3)
HARSHIT SAXENA said:
3 years ago
The right Answer is 25%.
(11)
Thaiseelan said:
9 months ago
Let the amount of pure milk in the mixture be x litres.
Since the mixture is sold at the cost price of 1 litre, but he gains 25%, the amount of milk he is effectively selling is:
đ„=1/1.25 = 0.8 liters of milk
This means that in 1 litre of the mixture, there are 0.8 litres of milk.
Since the total volume of the mixture is 1 litre, the amount of water in the mixture is:
1 â 0.8 = 0.2 liters of water.
Now, the percentage of water in the mixture is:
0.2/1 Ă 100 = 20%.
Since the mixture is sold at the cost price of 1 litre, but he gains 25%, the amount of milk he is effectively selling is:
đ„=1/1.25 = 0.8 liters of milk
This means that in 1 litre of the mixture, there are 0.8 litres of milk.
Since the total volume of the mixture is 1 litre, the amount of water in the mixture is:
1 â 0.8 = 0.2 liters of water.
Now, the percentage of water in the mixture is:
0.2/1 Ă 100 = 20%.
(3)
Krishnapriya said:
2 months ago
@All.
Here is the shortest method.
Profit is 25%= 1/4.
So, the ratio of water and milk is 1:4.
So % of water 1/5 = 20%.
Here is the shortest method.
Profit is 25%= 1/4.
So, the ratio of water and milk is 1:4.
So % of water 1/5 = 20%.
(3)
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