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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 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?

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

ANSWER DOWNLOAD EXAMIANS APP

Alligation or Mixture problems
A dishonest milkman professes to sell his milk at C. P. But he mixes it with water and thereby gains 25 %. The % of water in the mixture is ?

4%
20%
25%
None of these

ANSWER DOWNLOAD EXAMIANS APP

Alligation or Mixture problems
2/3 of a milk-water mixture was milk. There was 21 lit of the mixture. If 4 lit of water is added to it, the % of milk in the new mixture will be:

56
14
44
11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the amount of juice and water in original mixture '4x' litre and '3x' litre respectively. According to given data, 4x/3x+6 =8/7 28x=24x+48 28x?24x=48 4x = 48 x = 12 Amount of juice = 4x = 4×12 = 48 litre.

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?

40 ltr
20 ltr
10 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 mixture of milk and water the proportion of water by weight was 75%. If in 60 gm of mixture 15 gm water was added, what would be the percentage of water? (Weight in gm)

62%
70%
75%
80%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Water in 60 gm mixture=60 x 75/100 = 45 gm. and Milk = 15 gm.   After adding 15 gm. of water in mixture, total water = 45 + 15 = 60 gm and weight of a mixture = 60 + 15 = 75 gm.   So % of water = 100 x 60/75 = 80%.

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