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Alligation or Mixture problems

Alligation or Mixture problems
A vessel, full of water, weighs 24 kg. When the vessel is 1/4 full, it weighs 9 kg. Find the weight of empty vessel.

8 kg
3 kg
4 kg
5 kg

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the weight of vessel be xWeight of water = 24 ? x? (24 ? x)/4 + x = 9? 24 ? x + 4x = 36? 3x = 12? x = 4 kg

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

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

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Alligation or Mixture problems
Rs. 675 was divided among 75 boys and girls. Each boy gets Rs. 20 whereas a girl gets Rs. 5. Find the number of boys and girls.

25 , 50
15 , 60
20 , 55
30 , 45

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Average money per head (boy or girl) = Rs. (675 / 75) = Rs. 9 Number of boys = 4 / (4 + 11) × 75 = 20 Number of girls = 11 / (4 + 11) × 75 = 55.

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.

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

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
A jar was full with honey. A person used to draw out 20% of the honey from the jar and replaced it with sugar solution. He has repeated the same process 4 times and thus there was only 512 gm of honey left in the jar, the rest part of the jar was filled with the sugar solution. The initial amount of honey in the jar was:

1.5 kg
None of these
1.25 kg
1 kg

ANSWER DOWNLOAD EXAMIANS APP

Alligation or Mixture problems
A petrol pump owner mixed leaded and unleaded petrol in such a way that the mixture contains 10 % unleaded petrol. What quantity of leaded petrol should be added to 1 liter mixtures, so that the percentage of unleaded petrol becomes 5 %?

1900 ml
900 ml
1000 ml
1800 ml

ANSWER DOWNLOAD EXAMIANS APP
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