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Alligation or Mixture problems

Alligation or Mixture problems
A sum of Rs. 70 is divided among 10 children. Each boy gets Rs. 10 whereas a girl gets Rs. 5. If the number of boys is 4, find the number of girls.

6
7
8
9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number of girls / Number of boys = (3 / 2) Number of girls = (3 / 2) × 4 = 6

Alligation or Mixture problems
A man buys milk at Rs. 5 a litre and mixes it with water. By selling the mixture at Rs. 4 a litre he gains 121/2 % on his outlay. How much water did each litre of the mixture contain?

32 litre 13
32 litre 45
13 litre 45
None of these

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Alligation or Mixture problems
If 4 kg of an alloy made of 1/4th iron and rest is mixed with 6 kg of another alloy made of 2/3rd iron and rest tin, find the ratio of iron to tin in the resultant mixture.

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Total quantity of iron = 4 (1 / 4) + 6 (2 / 3) = 1 + 4 = 5 kg. Total quantity of tin = (4 + 6) ? 5 = 5 kg. In the resultant mixture, iron : tin = 5 : 5 or 1 : 1

Alligation or Mixture problems
8 litres are drawn from a flask containing milk and then filledwith water. The operation is performed 3 more times. Theratio of the quantity of milk left and total solution is 81/625.How much milk the flask initially holds?

10 ltr
40 ltr
20 ltr
30 ltr

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
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?

85
60
55
45

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
Three boxes of capacity 24 kg, 36 kg and 84 kg are completely filled with three varieties of wheat A, B and C respectively. All the three boxes were emptied and the three types of wheat were thoroughly mixed and the mixture was put back in the three boxes. How many kg of type A wheat would be there in the third box (in kg)?

10
16
14
12

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