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?
1 : 6
6 : 1
2 : 3
4 : 3
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. 6
7
Re. 1
1
7
6
7

Ratio of water and milk = 1 : 6 = 1 : 6.
7 7

Discussion:
51 comments Page 3 of 6.

Milad said:   8 years ago
according to question.

The gaining % is 50/3.
so, the percent of water be 50/3.
And percent of milk 100.
so, W:m =1:6.

Shivani said:   1 decade ago
How we get to know either they are asking milk to water ratio or water to milk ratio that's why it can be 6:1 and 1:6?

Sowmiya said:   8 years ago
How we get to know either they are asking milk to water ratio or water to milk ratio that's why it can be 6:1 and 1:6?
(1)

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?

Sowmya said:   1 decade ago
Blindly assumed like this type problems.

16 2/35% = 50/3%.

So, 50/3/100 = 50/3*1/100 = 50/300 = 1/6.

So, 1:6.

Pidu said:   9 years ago
They have used C.P. formula.
C.P = (100/(100 + gain%) * S.P).
So, (100/(100 + (50/3)) * 1).
100 * (3/350) * 1.

Vishal said:   8 years ago
Here, c.p = ((100/(100+gain%))s.p),
Here 100 + gain% = >100 + 50/3 = 350/3,
100(3/350) * 1=300/350 = 6/7.

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

Amit said:   1 decade ago
Yes @Supritha you are right.

How can we take lower C.P water at right side in problem no. 6?

Nitish raja said:   6 years ago
Let cp of milk in% be = 100%,
So, milk : water = 100% : 16 2/3%,
100% : 50/3 = 1: 6.
(1)


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