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 1 of 6.
Moncy said:
1 decade ago
Can anyone please explain me how they took gain=50/3 as 350/3 while computing c.p of 1lt mixture..Please explain it for me...
Jose said:
1 decade ago
I can't understand 3/350.
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
Raghaav said:
1 decade ago
can any one explain this sum please
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
Mini said:
1 decade ago
Can you please tell me how we get 1/7 under 1 litre of water?
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.
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?
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.
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.
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