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Alligation or Mixture problems

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
2:1
1:3

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Alligation or Mixture problems
In what proportion must tea at Rs. 62 per kg be mixed with tea at Rs. 72 per kg in order to obtain the mixture worth Rs. 65 per kg?

4: 7
4: 6
2: 3
7: 3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Using Alligation rule, (Quantity of cheaper tea) / (Quantity of dearer tea) = (d - m) / (m - c) = 7/3Therefore, they must be mixed in the ratio of 7 : 3.

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

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Alligation or Mixture problems
A jar contains a blend of a fruit juice and water in the ratio 5 : x. When 1 litre of water is added to 4 litres of the blend the ratio of fruit juice to water becomes 1 : 1. What is the value of x?

4
1
2
3

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Alligation or Mixture problems
Two vessels A and B contains milk and water mixed in the ratio 5 : 3 and 2 : 3. When these mixtures are mixed to form a new mixture containing half milk and half water, they must be taken in the ratio ?

4 : 5
2 : 5
7 : 3
3 : 5

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Alligation or Mixture problems
In what ratio of water be mixed with milk to gain 16 2/ 3 % on selling the mixture at cost price?

2 : 3
4 : 3
6 : 1
1 : 6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let C.P. of 1 liter milk be Re. 1, Gain = 16 2/3 % = 50/3 %and S.P. of 1 liter mixture = Re. 1 then C.P. of 1 liter mixture = (1 x (100 x 3) / 350) = Re. (6 / 7) By the rule of alligation,Hence, required ratio = (1/ 7) : (6 / 7) = 1 : 6

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