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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 ?

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

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Alligation or Mixture problems
A shopkeeper has 100 kgs of tea. He sells a part of it at 20% profit and the rest at 5% loss. If his overall profit is 10%, find the quantity for each part.

30 kgs
25 kgs
40 kgs
20 kgs

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

As per figure, we can calculate as below.Quantity sold at 20% profit = 3 / (3 + 2) × 100 = 60 kgs. Quantity sold at 5% loss = (100 ? 60) = 40 kgs.

Alligation or Mixture problems
Three bottles of equal capacity have mixture of milk and water in ratio 5 : 7, 7 : 9 and 2 : 1 respectively. These three bottles are emptied into a large bottle. What is the percentage of milk in the new mixture?

51.2
52.3
49.6
50.7

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
A mixture of 20 kg of spirit and water contains 10 % water. How much water must be added to this mixture to raise the percentage of water to 25 %?

5 kg
8 kg
4 kg
30 kg

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Alligation or Mixture problems
In a 48 ltr mixture, the ratio of milk and water is 5:3. How much water should be added in the mixture so as the ratio will become 3:5?

24 lit
32 lit
8 lit
16 lit

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given mixture = 48 lit Milk in it = 48 x 5/8 = 30 lit => Water in it = 48 - 30 = 18 lit Let 'L' lit of water is added to make the ratio as 3:5 => 30/(18+L) = 3/5 => 150 = 54 + 3L => L = 32 lit.

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 ?

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

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