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Alligation or Mixture problems

Alligation or Mixture problems
In a mixture of 240 lt. water is 20% and rest is Milk. What quantity of mixture should be taken out and replaced with water so that water becomes 40%?

55 lit
60 lit
50 lit
45 lit

ANSWER DOWNLOAD EXAMIANS APP

Alligation or Mixture problems
In a 100 litre of mixture the ratio of milk and water is 6:4. How much milk must be added to the mixture in order to make the ratio 3 : 1?

55
45
85
60

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let M litres milk be added => 60   +   M 40   =   3 1 => 60 + M = 120 => M = 60 lit.

Alligation or Mixture problems
A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:

600 kg
560 kg
640 kg
400 kg

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

By the rule of alligation, we have: Profit on 1st part Profit on 2nd part 8% Mean Profit 14% 18% 4 6 Ration of 1st and 2nd parts = 4 : 6 = 2 : 3 ∴ Quantity of 2nd kind = ❨ 3 x 1000 ❩kg = 600 kg.

Alligation or Mixture problems
In a triangle XYZ , which of the following conditions is true

XY YZ > ZX
XY + ZX < YZ
XY YZ < XZ
XY + YZ < ZX

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Ratio of milk and water = 2 : 1 Quantity of milk = 60 X 2/3 = 40 litre Quantity of water = 20 litre To make ratio, 1: 2, we have to double the water that of milk So, water should be 80 litre. That means 80 ? 20 = 60 litre water to be added.

Alligation or Mixture problems
Three bottles of equal capacity have mixture of milk and water in ratio 5 : 7, 7 : 9 and 2 : 1 respectively. These three bottles are emptied into a large bottle. What is the percentage of milk in the new mixture?

52.3
49.6
50.7
51.2

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
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
160 kgs
140 kgs
120 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.

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