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 5 of 7.

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%.
(4)

Shubham Tiwari said:   9 years ago
Let C.P = 100.

100 ---> 25%gain ----> 125 ------> 100.

So percentage of water in mixture: (125-100)/125 = 20%.

Neetu said:   1 decade ago
Then how we take 1/5 if we do 4/1= its become 4/5(4.. second become by 4+1=5) whay u take 1/5 plz explain me

Moncy said:   1 decade ago
@ Pankaj:
Its a formula for finding the C.P when the gain % is given.C.P=((100/(100+gain%))+selling price)

Mashiur said:   5 years ago
Let, CP=SP = x
CP of Milk(M) = Mx
SP of Milk & Water(M+W) = (M+W)x,
Now, (M+W)x-Mx = Mx/4,
M:W = 4:1.
(4)

Reisang Kasar said:   8 years ago
Please someone help me.

How to find out the weight of the water mixed in gm per kilogram of milk?

Mamta said:   8 years ago
I will not able to understand that please give me easy example's to understand.

Please, help me.

Nisha said:   6 years ago
25 %= 1/4,
So 4 is milk and 1 is water,
4+1 =5 is milk and water.
1/5 * 100 = 20%.
(3)

Akki said:   3 years ago
Milk. +. Water. = Total mixture.

100% + 25%. = 125%.

25%/ 125% = 1/5 = 20%.
(67)

Srinithi said:   9 years ago
I couldn't get how a mean price which is less than cp of milk will give 25%gain?


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