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:
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 | |||
|
|
![]() |
4 | : | 1 | = 4 : 1. |
5 | 5 |
Hence, percentage of water in the mixture = | ![]() |
1 | x 100 | ![]() |
= 20%. |
5 |
Discussion:
65 comments Page 2 of 7.
Pooju said:
3 years ago
@Vikas Rawat.
Thank you you explained very well.
Thank you you explained very well.
(3)
Nisha said:
7 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)
Bhagyasri said:
9 years ago
Suppose Milk man have 100 litre he want sell same 100 litre by adding some water.
Milk...................100 litre(initially)
Milk+ water.......100 litre(after addition of milk)
So, milk = 100-water.
Now, cost price Rs/-100.
Because of 25% profit selling price Rs/-125
100 * 100 = (100-water) * 125.
Water = 20.
Out of 100 litre water quantity is 20 litre.
So, answer is 20%.
Milk...................100 litre(initially)
Milk+ water.......100 litre(after addition of milk)
So, milk = 100-water.
Now, cost price Rs/-100.
Because of 25% profit selling price Rs/-125
100 * 100 = (100-water) * 125.
Water = 20.
Out of 100 litre water quantity is 20 litre.
So, answer is 20%.
(2)
Satadhi said:
7 years ago
Is 25% gain means he must have added 25% of water. So if 100lts of milk is there then you have 25lts of water. So part of solution which is water is 25/125. Then convert this into percentage.
(1)
Arun said:
6 years ago
Here gain%/100 + gain%*100 it means 25/100 + 25*100 = 20%.
Thuder said:
8 years ago
Suppose 1 litre is 1rs.
Then 0.5 litres is 0.5 right.
x litres cost x rupee,
So gain = ((s.p-c.p)/c.p)*100;
So he actually sells it for 1 rupee as 1 litre of milk but he has less than 1 litre of milk, say x,
So x litres cost x rupee,
So 25=((1-x)/x)*100;,
x=4/5;,
So water is 1/5 which is 20%,
Hope it helps.
Then 0.5 litres is 0.5 right.
x litres cost x rupee,
So gain = ((s.p-c.p)/c.p)*100;
So he actually sells it for 1 rupee as 1 litre of milk but he has less than 1 litre of milk, say x,
So x litres cost x rupee,
So 25=((1-x)/x)*100;,
x=4/5;,
So water is 1/5 which is 20%,
Hope it helps.
LALIT KAUSHAL said:
8 years ago
Formula is; (R/R+100)*100 So, ( 25/25+100)*100=20%.
Cesoul said:
7 years ago
let 100 litres of milk costs ---> x rs.
Now, they say how much water needs to be added to milk, we shall get 25 % gain
so,
100 lit milk+ y litres water costs --> x + 25 * X/100.
re-arranging the above equations
100 lit --> x rs.
100 lit + y litres water ---> x + 0.25x (adding the gain).
Cross multiply.
(x+0.25x) * 100 = 100*x + y*x.
solving we get;
25x = x * y.
y = 25 litres of water.
So now total mixture ( 100 lit milk + 25 lit of water ) = 125 lit of mixture.
to find out the percentage of water in 125 litres.
25*100/125 = 20 litre of water.
Now, they say how much water needs to be added to milk, we shall get 25 % gain
so,
100 lit milk+ y litres water costs --> x + 25 * X/100.
re-arranging the above equations
100 lit --> x rs.
100 lit + y litres water ---> x + 0.25x (adding the gain).
Cross multiply.
(x+0.25x) * 100 = 100*x + y*x.
solving we get;
25x = x * y.
y = 25 litres of water.
So now total mixture ( 100 lit milk + 25 lit of water ) = 125 lit of mixture.
to find out the percentage of water in 125 litres.
25*100/125 = 20 litre of water.
Tushar said:
7 years ago
The solution is;
Water/milk * 100 is the formula for solving this.
Initially, water is 25% so remaining milk is 75% which makes W:M=1:4.
%water = w/total*100 and %milk= m/total*100 so %water = 1/5*100 = 20%.
Water/milk * 100 is the formula for solving this.
Initially, water is 25% so remaining milk is 75% which makes W:M=1:4.
%water = w/total*100 and %milk= m/total*100 so %water = 1/5*100 = 20%.
Priya said:
7 years ago
I am unable to understand. Please, anybody explain me clearly.
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