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Alligation or Mixture problems

Alligation or Mixture problems
A milkman buys milk at Rs 25 per litre and adds 1/4 of water to it and sells the mixture at Rs 26 per litre. His gain (in %) is?

25
30
20
15

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 triangle XYZ , which of the following conditions is true

XY + YZ < ZX
XY YZ < XZ
XY + ZX < YZ
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
One type of liquid contains 25 % of benzene, the other contains 30% of benzene. A can is filled with 6 parts of the first liquid and 4 parts of the second liquid. Find the percentage of benzene in the new mixture.

27 %
29 %
26 %
21 %

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the percentage of benzene = X(30 - X)/(X- 25) = 6/4 = 3/2 => 5X = 135  X = 27 So, required percentage of benzene = 27 %

Alligation or Mixture problems
In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?

5 : 7
3 : 7
7 : 5
7 : 3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

By the rule of alligation: Cost of 1 kg pulses of 1st kind Cost of 1 kg pulses of 2nd kind Rs. 15 Mean Price Rs. 16.50 Rs. 20 3.50 1.50 ∴ Required rate = 3.50 : 1.50 = 7 : 3.

Alligation or Mixture problems
A container contains 50 litres of milk. From that 8 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

28.21 litres
24.52 litres
29.63 litres
25.14 litres

ANSWER DOWNLOAD EXAMIANS APP

Alligation or Mixture problems
There are three bottles of mixture of syrup and water of ratios 2:3, 3:4 and 7:5. 10 Litres of first and 21 Litres of second bottles are taken. How much quantity from third bottle is to be taken so that final mixture from three bottles will be of ratios 1:1.

25 Litres
35 Litres
20 Litres
30 Litres

ANSWER DOWNLOAD EXAMIANS APP
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