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Alligation or Mixture problems

Alligation or Mixture problems
A vessel is filled with liquid, 3 parts of which are water and 5 parts of syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

1/7
1/5
1/4
1/3

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

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

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
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%?

60 lit
55 lit
45 lit
50 lit

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Alligation or Mixture problems
An alloy is made by mixing metal A costing Rs 2000/kg and metal B costing Rs 400/kg in the ratio A:B = 3:1. What is the cost (in Rs) of 8 kilograms of this alloy?

12800
9800
1600
6400

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Alligation or Mixture problems
A solution of sugar syrup has 15 % sugar. Another solution has 5 % sugar. How many liter of the second solution must be added to 20 liters of the first solution to make a solution of 10 % sugar?

15
5
20
10

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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?

3 : 4
4 : 1
4 : 3
1 : 4

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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