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 6 of 7.
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%.
So 4 is milk and 1 is water,
4+1 =5 is milk and water.
1/5 * 100 = 20%.
(3)
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?
Arun said:
6 years ago
Here gain%/100 + gain%*100 it means 25/100 + 25*100 = 20%.
Karthi said:
6 years ago
Excellent @Amir.
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.
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)
Kain said:
5 years ago
There's a formula for this in Profit and Loss:
Gain% = Error/(True Value - Error).
Since Gain% = 25% (or 1/4), simply take any True Value and you'll find the Error amount for that.
Now that Error is how much of the True Value (in %), is your answer.
Normally we take True Value as 100 for a direct answer but you can take any value and then find the answer.
Eg. In this case,
1/4 = Error / (100-Error) => Error = 100/5 => 20%.
That's it.
Gain% = Error/(True Value - Error).
Since Gain% = 25% (or 1/4), simply take any True Value and you'll find the Error amount for that.
Now that Error is how much of the True Value (in %), is your answer.
Normally we take True Value as 100 for a direct answer but you can take any value and then find the answer.
Eg. In this case,
1/4 = Error / (100-Error) => Error = 100/5 => 20%.
That's it.
(4)
Suraj gariboyina said:
5 years ago
Initially, there is 100% of milk.
After he mixed 25% of water.
Now the mixture becomes 125%.
He asked what is the % of the water in the mixture.
25% in 125% is 20%.
So the answer is 20%.
After he mixed 25% of water.
Now the mixture becomes 125%.
He asked what is the % of the water in the mixture.
25% in 125% is 20%.
So the answer is 20%.
(12)
Neela satya sai said:
4 years ago
@Rahul.
Excellent explanation. Thanks.
Excellent explanation. Thanks.
Sai said:
4 years ago
Assume he sells 100 litres of milk.
In those 100 litres, he mixes 25 %of water that means he mix 25 litres of water to 100 litres of Milk.
So , the total mixture is 125 litres.
The profit gained by the seller is nothing but the amount of water added to milk. i.e 25 litres
Now,profit% = amount of water added/total amount of solution * 100.
25/125 * 100 = 20%.
In those 100 litres, he mixes 25 %of water that means he mix 25 litres of water to 100 litres of Milk.
So , the total mixture is 125 litres.
The profit gained by the seller is nothing but the amount of water added to milk. i.e 25 litres
Now,profit% = amount of water added/total amount of solution * 100.
25/125 * 100 = 20%.
(39)
Akki said:
3 years ago
Milk. +. Water. = Total mixture.
100% + 25%. = 125%.
25%/ 125% = 1/5 = 20%.
100% + 25%. = 125%.
25%/ 125% = 1/5 = 20%.
(67)
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