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Alligation or Mixture problems

Alligation or Mixture problems
Two bottles contain acid and water in the ratio 2 : 3 and 1 : 2 respectively. These are mixed in the ratio 1 : 3. What is the ratio of acid and water in the new mixture ?

11:57
1:3
23:37
7:13

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Alligation or Mixture problems
A grocer buys two kind of rice at Rs. 1·80 and Rs. 1·20 per kg respectively. In what proportion should these be mixed, so that by selling the mixture at Rs. 1·75 per kg, 25 % may be gained?

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

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Alligation or Mixture problems
4 vessels of equal sizes contains mixture of spirit and water. The concentration of spirit in 4 vessels are 60 %, 70 %, 75 % and 80 % respectively. If all the 4 mixtures are mixed, find in the resultant mixture the ratio of spirit to water ?

23 : 57
57 : 13
57 : 23
None of these

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Alligation or Mixture problems
In what ratio must water be added to spirit to gain 25% by selling it at cost price?

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let cost price of spirit be Re. 1 per liter. Then SP of mixture = Re. 1 per liter Gain = 25% So, CP of mixture = 1 × (100 / 125) = Re. 4 / 5We assume that CP of water is zero. Using allegation rule on cost price, Water should be mixed to spirit in the ratio (1 / 5) : (4 / 5) or 1 : 4

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?

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

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Alligation or Mixture problems
In a mixture of 35 litres, the ratio of milk and water is 4:1. If 7 litres of water is added to the mixture, the ratio of milk and water of the new mixture will be

4:5
2:1
5:4
1:2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Ratio of milk andwater = 4:1 Quantity of water = 35/5 = 7 litres Quantity of milk = 35 X 4/5 = 28 litres If 7 litre of water is added, new quantity of water = 14 litre New ratio of milk and water = 28:14 = 2:1

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