Aptitude - Alligation or Mixture - Discussion
Discussion Forum : Alligation or Mixture - General Questions (Q.No. 10)
10.
In what ratio must water be mixed with milk to gain 16
% on selling the mixture at cost price?
% on selling the mixture at cost price?
Answer: Option
Explanation:
Let C.P. of 1 litre milk be Re. 1.
| S.P. of 1 litre of mixture = Re.1, Gain = | 50 | %. |
| 3 |
 C.P. of 1 litre of mixture = |
 |
100 x | 3 | x 1 |  |
= | 6 |
| 350 | 7 |
By the rule of alligation, we have:
| C.P. of 1 litre of water C.P. of 1 litre of milk | |||||
| 0 | Mean Price
| Re. 1 | |||
|
|
||||
| Ratio of water and milk = |
1 | : | 6 | = 1 : 6. |
| 7 | 7 |
Discussion:
51 comments Page 5 of 6.
Girish said:
1 decade ago
As the gain is given in percentage, let us assume for 100 ltrs of milk.
The amount of water mixed is the amount of profit we get.
Amount of water is 16 2/3 i:e 50/3.
Amount of milk is 100.
Therefore required ratio = Qty of Water/Qty of Milk.
= 50/3 /100 =1/6 is the answer.
The amount of water mixed is the amount of profit we get.
Amount of water is 16 2/3 i:e 50/3.
Amount of milk is 100.
Therefore required ratio = Qty of Water/Qty of Milk.
= 50/3 /100 =1/6 is the answer.
Harsh said:
1 decade ago
Let the cost price be Rs.100.
To gain 50/3 milk in mixture=100-50/3=250/3.
Ratio in which milk is present = (250/3 )/100 = 250/300.
Since, mixture is 1.
Ratio in which water is present = 1 - 250/300 = 50/300= 1/6.
To gain 50/3 milk in mixture=100-50/3=250/3.
Ratio in which milk is present = (250/3 )/100 = 250/300.
Since, mixture is 1.
Ratio in which water is present = 1 - 250/300 = 50/300= 1/6.
Maggi15 said:
1 decade ago
Agree with Dilip. The new ratio of 2 elements will be same as the profit/100. Say profit is 25% then the ratio will be 25/100 = 1/4. Hence, in 1000 litres of mixture, 200 litres of water + 800 litres of milk.
Ashu said:
1 decade ago
How we know that C.P of water will be on left side and of milk on right side? how does it affects if we change them?
Dilip said:
1 decade ago
Here the gain% is 16.66
i.e in 100 lit milk, 16.66 lit water is required to be added.
Hence ratio becomes, 16.66/100 = 1/6.
i.e in 100 lit milk, 16.66 lit water is required to be added.
Hence ratio becomes, 16.66/100 = 1/6.
Mini said:
1 decade ago
Can you please tell me how we get 1/7 under 1 litre of water?
Habib said:
1 decade ago
SP/CP = ( Gain% + 100 )/100,
So u get, SP/Cp=350/300..................(Put gain%=50/3,in form)
Nw u get, CP=(6/7)SP............This gives you the mean price
And hence substitute in alligation formulae....to get the ratio
So u get, SP/Cp=350/300..................(Put gain%=50/3,in form)
Nw u get, CP=(6/7)SP............This gives you the mean price
And hence substitute in alligation formulae....to get the ratio
Raghaav said:
1 decade ago
can any one explain this sum please
Pratik said:
1 decade ago
It is the gain % so 100+ 50/3 = 350/3 and putting this into the formula we get 100/350/3 = 100*3/350
Jose said:
1 decade ago
I can't understand 3/350.
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