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Alligation or Mixture problems

Alligation or Mixture problems
In what ratio should two varieties of tea at Rs. 60 per kg and Rs.120 per kg be mixed together so that by selling the mixture at Rs.96 per kg, a profit of Rs.20% is obtained?

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

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Alligation or Mixture problems
In a mixture of 240 lt. water is 20% and rest is Milk. What quantity of mixture should be taken out and replaced with water so that water becomes 40%?

60 lit
50 lit
55 lit
45 lit

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Alligation or Mixture problems
In what ratio should two varieties of sugar at Rs.18 per kg and Rs.24 Kg be mixed together to get a mixture whose cost is Rs.20 per kg?

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

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Alligation or Mixture problems
From a cask of wine, containing 64 liters, 8 liters are drawn out and the cask is filled up with water. If the same process is repeated a second, then a third time, what will be the number of liters of wine left in the cask?

42 3 kg 8
42 1 kg 8
42 7 kg 8
48 7 kg 8

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Alligation or Mixture problems
One type of liquid contains 25 % of benzene, the other contains 30% of benzene. A can is filled with 6 parts of the first liquid and 4 parts of the second liquid. Find the percentage of benzene in the new mixture.

26 %
21 %
27 %
29 %

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the percentage of benzene = X(30 - X)/(X- 25) = 6/4 = 3/2 => 5X = 135  X = 27 So, required percentage of benzene = 27 %

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
8 lit
16 lit
32 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.

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