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Alligation or Mixture problems

Alligation or Mixture problems
In what ratio must a grocer mix sugar at 72 paise per kg with sugar at 48 paise per kg. So that by selling the mixture at 63 paise per kg he may gain 1 of his out-lay? 6

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

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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 %?

8 kg
30 kg
5 kg
4 kg

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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.

27 %
26 %
29 %
21 %

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
A mixture is composed of 11 parts of pure milk and 2 parts of water. If 35 litres of water were added to the mixture then the new mixture will contain twice as much pure milk as water, then how many litres of pure milk does the original mixture contain?

55
220
110
70

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Alligation or Mixture problems
Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

4:5
3:4
2:3
1:3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

By the rule of alligation:Cost of 1 kg rice of 1st kind                  Cost of 1 kg rice of 2nd kind        Required ratio = 60 : 90 = 2 : 3

Alligation or Mixture problems
There are three bottles of mixture of syrup and water of ratios 2:3, 3:4 and 7:5. 10 Litres of first and 21 Litres of second bottles are taken. How much quantity from third bottle is to be taken so that final mixture from three bottles will be of ratios 1:1.

35 Litres
25 Litres
20 Litres
30 Litres

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