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Alligation or Mixture problems

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
16
36
14

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Alligation or Mixture problems
From a vessel filled with alcohol 1/5 of its contents is removed and the vessel is then filled up with water. If this be done 5 times in succession, what proportion of the alcohol originally contained in the vessel will have been removed from it?

1024 3125
2101 3125
1024 2101
None of these

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Alligation or Mixture problems
A can contains a mixture of 2 liquids A and B in proportion 7 : 5 when 9 liters of mixture are drawn off and the can is filled with B, the proportion of A and B becomes 7 : 9. How many liters of liquid A was contained by the can initially?

10
20
21
25

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Alligation or Mixture problems
A man bought a certain quantity of sugar for Rs. 8000. He sells one-fourth of it at 20% loss. At what per cent profit should he sell the remainder stock so as to make an overall profit of 20%?

40%
35%
30%
20%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the remainder stock be sold at P% profit.(P - 20) / 30 = ((1 / 4) / (3 / 4))or (P ? 20) = 30 × (1 / 3) or P = 20 + 10 P = 30% profit.

Alligation or Mixture problems
Currants at Rs. 50 per kg are mixed with currants at Rs. 90 per kg to make a mixture of 17 kg worth Rs. 70 per kg. How many kilograms of each are taken?

8 kg, 9 kg
None of these
7 kg, 10 kg
8 1 kg of each 2

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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
4 : 3
3 : 4
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

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