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Alligation or Mixture problems

Alligation or Mixture problems
In a 100 litre of mixture the ratio of milk and water is 6:4. How much milk must be added to the mixture in order to make the ratio 3 : 1?

45
55
60
85

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let M litres milk be added => 60   +   M 40   =   3 1 => 60 + M = 120 => M = 60 lit.

Alligation or Mixture problems
The cost of type - I rice is Rs. 15 per kg and type - II is Rs. 20 per kg. If both type - I and type - II are mixed in the ratio of 2 : 3, then find the price per kg of the mixed variety.

18
19
18.50
19.50

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the price per kg of mixed variety be Rs. P; then By the rule of alligation,Now, (20 - P) / (P - 15) = (2 / 3) ? 60 ? 3P = 2P ? 30 ? 5P = 90 ? P = Rs. 18

Alligation or Mixture problems
A milkman buys milk at Rs 25 per litre and adds 1/4 of water to it and sells the mixture at Rs 26 per litre. His gain (in %) is?

20
30
25
15

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let initial quantity be Q, and final quantity be F F = Q(1 - 8/Q) 4 => Q = 20

Alligation or Mixture problems
From a vessel filled with alcohol 1/5 of its contents is removed and the vessel is then filled up with water. If this be done 5 times in succession, what proportion of the alcohol originally contained in the vessel will have been removed from it?

2101 3125
1024 3125
1024 2101
None of these

ANSWER DOWNLOAD EXAMIANS APP

Alligation or Mixture problems
In what proportion should water and wine at Rs. 22·50 a liter be mixed to reduce the price to Rs. 18 a liter?

4 : 1
1 : 4
2 : 3
3 : 2

ANSWER DOWNLOAD EXAMIANS APP

Alligation or Mixture problems
In what ratio of water be mixed with milk to gain 16 2/ 3 % on selling the mixture at cost price?

2 : 3
6 : 1
1 : 6
4 : 3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let C.P. of 1 liter milk be Re. 1, Gain = 16 2/3 % = 50/3 %and S.P. of 1 liter mixture = Re. 1 then C.P. of 1 liter mixture = (1 x (100 x 3) / 350) = Re. (6 / 7) By the rule of alligation,Hence, required ratio = (1/ 7) : (6 / 7) = 1 : 6

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