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 3 of 7.
Parvy Govil said:
10 years ago
Let the original amount of milk be 100 and the cost price is Rs. 1/L.
CP1 = 100.
SP1 = 100.
Case 2 : When the milk is milk with x liters of water milk remaining is 100-x.
But now the SP is 100.
Given gain% = 25.
Thus, (100-(100-x))/100-x *100 = 25.
x = 20 liters.
Therefore, 20 L of water is added to 80 liters of milk so that the quantities remain the same however the selling price now makes all the difference!
CP1 = 100.
SP1 = 100.
Case 2 : When the milk is milk with x liters of water milk remaining is 100-x.
But now the SP is 100.
Given gain% = 25.
Thus, (100-(100-x))/100-x *100 = 25.
x = 20 liters.
Therefore, 20 L of water is added to 80 liters of milk so that the quantities remain the same however the selling price now makes all the difference!
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%.
If 125 ---> 100%.
Then 25 is 25 ---> will give you 100/125*25=20%.
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%.
100 ---> 25%gain ----> 125 ------> 100.
So percentage of water in mixture: (125-100)/125 = 20%.
Sujit said:
9 years ago
S.P. = C.P. (given) ...... (i).
Gain = 25%.
Then,
S.P. = (125/100)C.P. = (5/4)C.P.
ie., S.P/C.P = 5/4.
ie., 4S.P = 5C.P.
For them to b equal 1should be removed from 5 C.P.
i.e., 1/5 is removed.
Hence percentage removed is 1/5*100 = 20%.
Gain = 25%.
Then,
S.P. = (125/100)C.P. = (5/4)C.P.
ie., S.P/C.P = 5/4.
ie., 4S.P = 5C.P.
For them to b equal 1should be removed from 5 C.P.
i.e., 1/5 is removed.
Hence percentage removed is 1/5*100 = 20%.
Diptam said:
9 years ago
What will happen if the cp of the milk will be Rs 4 per litre?
Srinithi said:
9 years ago
I couldn't get how a mean price which is less than cp of milk will give 25%gain?
Target spotted said:
9 years ago
A dishonest milkman dilutes milk and water with water and then sells the diluted milk at a price that is 20% more than the price at which he purchased the milk. If he makes a profit of 50%in this manner. How many ml of water does he add to every liter of milk?
Mukund said:
9 years ago
@Srinithi.
Profit is 25% its because he is not selling pure milk which Worth's 1Rs (i.e 100%) he is adding water to it .It does mean that milk is no more pure and also its cost reduced. But even after he selling it with the same price.
Hence he is getting profit.
Wkt if SP is given the formula is CP = SP *(100/(GAIN + 100)).
Profit is 25% its because he is not selling pure milk which Worth's 1Rs (i.e 100%) he is adding water to it .It does mean that milk is no more pure and also its cost reduced. But even after he selling it with the same price.
Hence he is getting profit.
Wkt if SP is given the formula is CP = SP *(100/(GAIN + 100)).
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.
Krishna said:
9 years ago
SP of 1 ltr milk is Rs.1, then why is it written in the allegation chart that CP of 1 ltr milk is Rs. 1? Shouldn't CP of 1 ltr milk be 4/5?
Please explain the answer.
Please explain the answer.
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