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Alligation or Mixture problems

Alligation or Mixture problems
In what proportion water must be added to spirit to gain 20% by selling it at the cost price?

1:8
1:7
1:5
1:6

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Alligation or Mixture problems
A sum of Rs. 41 was divided among 50 boys and girls. Each boy gets 90 paise and a girl 65 paise. The number of boys is ?

34
36
16
14

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Alligation or Mixture problems
A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

27.36 litres
29.16 litres
26.34 litres
28 litres

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Amount of milk left after 3 operations = [ 40 ❨ 1 - 4 ❩ 3 ] litres 40    = ❨ 40 x 9 x 9 x 9 ❩ = 29.16 litres.

Alligation or Mixture problems
A drum contains 80 litres of ethanol. 20 litres of this liquid is removed and replaced with water. 20 litres of this mixture is again removed and replaced with water. How much water (in litres) is present in this drum now?

44
35
40
45

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Alligation or Mixture problems
In what ratio must water be added to spirit to gain 25% by selling it at cost price?

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let cost price of spirit be Re. 1 per liter. Then SP of mixture = Re. 1 per liter Gain = 25% So, CP of mixture = 1 × (100 / 125) = Re. 4 / 5We assume that CP of water is zero. Using allegation rule on cost price, Water should be mixed to spirit in the ratio (1 / 5) : (4 / 5) or 1 : 4

Alligation or Mixture problems
15 liters of a mixture contains 20 % alcohol and the rest water. If 3 liters of water be mixed in it, the % of alcohol in the new mixture will be ?

18 1 2
17
15
16 2 3

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