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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.

5 kg
3 kg
4 kg
8 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
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?

2
1
4
3

ANSWER DOWNLOAD EXAMIANS APP

Alligation or Mixture problems
In the 75 litres of mixture of milk and water, the ratio of milk and water is 4:1. The quantity of water required to make the ratio of milk and water 3:1 is

3 litres
1 litre
5 litres
4 litres

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Total quantity of mixture = 75 litre Milk  :  Water  =  4  :  1                                    3       :       1

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%?

35%
20%
30%
40%

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
A merchant has 160 kgs of wheat. He sells a part of it at 10% profit and the rest of 6% loss. If he incurs 4% loss on the whole, find the quantity for each part.

150 kgs
140 kgs
120 kgs
160 kgs

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to figure we can find that the ration would be 1 : 7.Quantity sold at 10% profit = 1 / (1 + 7)× 160 = 20 kgs. Quantity sold at 6% loss = (160 ? 20) = 140 kgs.

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?

10 ltr
40 ltr
20 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

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