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
Re. 4
5
0
4
5
1
5

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 4 of 7.

Thamaraikannan said:   1 decade ago
100:gain%.

So 100:25 (this meant for 100% we get 25% profit).

Now 4:1 (for every 4l milk 1l water to be added).

Ratio wise 1l. Then percentage wise (1/5)*100 = 20%.

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.
(4)

Sreyansh joshi said:   10 years ago
I am still not getting this according to alligation rule the cheaper material should be used and in this solution they have considered milk as the cheaper material.

Krishna said:   9 years ago
SP of 1 litre milk is Rs. 1, then why is it written in the allegation chart that CP of 1 litre milk is Rs. 1? Shouldn't CP of 1 litre milk be 4/5? Please explain.

Bathi said:   7 years ago
x liters of milk ------- re.1.
(x+y) liters of mixture -------- re.1.25 where y is for water.
(x+y)/x = 1.25/1.
y/x = 1/4.

y = 1/5 * 100 = 20%.

Vihan said:   6 years ago
If the price of milk is 15% more than that of water than the price of water is how much percent less than that of milk? Can anyone solve this?

Palash said:   6 years ago
Let 1 lt milk price is rs1 and x lt water mixed.
Then CP of (1-x)lt milk is rs(1-x) and SP is rs 1.
So, x/ (1-x) = 25% implies X= 20%.

Ramakrishana said:   10 years ago
So friends when we adding the water it becomes 125 liters.

If 125 ---> 100%.

Then 25 is 25 ---> will give you 100/125*25=20%.

Amir said:   1 decade ago
@amir:

"milk:water==100:x"
where x is gain%

Soln:
m:w==100:25==4:1
that means water percentage is=
1/5*100=20%
answer==20

Vijay said:   9 years ago
CP = 100
Added cp = 25
total = 125
Non genu = 100/125 = 4/5.

Equate value must less than = .1
profit =1 - 4/5,
1/5 = 20%.


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