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 4 of 6.

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?

Supritha K.S. said:   1 decade ago
Why is C.P. of 1 liter of milk taken on the left hand side as per the rule of alligation in this problem. Unlike C.P. of 1 liter of milk which is taken on the right hand side in 6th sum and other sums?

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?

Floretamit said:   1 decade ago
Let total quantity was x and cost price of milk was 100.

Since we have to sell milk with same price but have to gain profit 50/3% of 100 rupee so here selling price will be 100 and cost price of mixture.

== Selling price - Profit.

==100-50/3 = 250/3.

Now, use allegation by x liter milk o milk that is water.

100.
250/3.

250 : 50.
= 5 : 1.

Now the quantity of water that should mixed with milk will be.

1/6*x that is water must be mixed 1/6th weight of milk weight. That means if initial milk was kg kg than 1 liter water must be mixed to get 50/3 % profit by selling on original cost price.

Oken said:   1 decade ago
Let C.P. of 1 litre of milk be Re 1.

Then S.P. of the mixture is also Re 1.

C.P. of 1 titre of the mixture = 1-50/300 = 250/300 = 5/6.

As per my opinion C.P. of 1 litre of the mixture is Rs. 5/6 but everyone told me it should be 6/7.

How is it so? Anybody please help.

Alagu said:   1 decade ago
How the C.P of 1 liter milk is Re. 1?

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.

Manan said:   1 decade ago
@Yuvraj : (16*3+2)/3 = (48+2)/3 = 50/3.

Thats how a mixed fraction is solved.

Pooja said:   1 decade ago
Can anyone say why we are taking as 3/350?
(1)

Yuvraj said:   1 decade ago
Please could explane me how is come 50/3 ?


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