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Alligation or Mixture problems

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?

85
55
60
45

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 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%
30%
40%
20%

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
In a triangle XYZ , which of the following conditions is true

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

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
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.

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

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
The cost of type - I rice is Rs. 15 per kg and type - II is Rs. 20 per kg. If both type - I and type - II are mixed in the ratio of 2 : 3, then find the price per kg of the mixed variety.

19
19.50
18.50
18

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the price per kg of mixed variety be Rs. P; then By the rule of alligation,Now, (20 - P) / (P - 15) = (2 / 3) ? 60 ? 3P = 2P ? 30 ? 5P = 90 ? P = Rs. 18

Alligation or Mixture problems
How much chicory at Rs. 24 a kg should be added to 15 kg of tea at Rs. 60 a kg as to make the mixture worth Rs. 39 a kg?

27 kg
18 kg
20 kg
21 kg

ANSWER DOWNLOAD EXAMIANS APP
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