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 5 of 7.
Diptam said:
9 years ago
What will happen if the cp of the milk will be Rs 4 per litre?
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%.
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%.
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%.
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!
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!
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.
Vishnu said:
10 years ago
For example he sells 1 liter of mixture =0.8 liter milk 0.2 liter water.
I liter is equal to 125% (100% cp + profit 25 %).
Thus cost price achieved by selling 0.8 liters of milk.
Profit by 0.2 liters which is 25 %.
125% = 0.2/0.8*100.
I liter is equal to 125% (100% cp + profit 25 %).
Thus cost price achieved by selling 0.8 liters of milk.
Profit by 0.2 liters which is 25 %.
125% = 0.2/0.8*100.
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%.
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%.
DHANANJAY SINGH said:
1 decade ago
CP = 100 RS FOR 100 LITERS.
BUT ACTUALLY IT HAS 125 LITERS (25 LITERS WATER).
SO CP OF 100 LITERS BE RS 100.
CP OF 125 LITERS BE RS 125.
PROFIT = 125-100/125*100=20%.
BUT ACTUALLY IT HAS 125 LITERS (25 LITERS WATER).
SO CP OF 100 LITERS BE RS 100.
CP OF 125 LITERS BE RS 125.
PROFIT = 125-100/125*100=20%.
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