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Alligation or Mixture problems

Alligation or Mixture problems
A merchant has 50 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 ?

35 kg
20 kg
30 kg
15 kg

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

XY + YZ < ZX
XY YZ < XZ
XY YZ > ZX
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
A petrol pump owner mixed leaded and unleaded petrol in such a way that the mixture contains 10 % unleaded petrol. What quantity of leaded petrol should be added to 1 liter mixtures, so that the percentage of unleaded petrol becomes 5 %?

1800 ml
1000 ml
1900 ml
900 ml

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Alligation or Mixture problems
Two vessels A and B contain mixture of milk and water in the ratio 4 : 1 and 9 : 11 respectively. They are mixed in the ratio of 3 : 2. Find the ratio of milk and water in the resulting mixture.

17 : 33
16 : 34
34 : 16
33 : 17

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Alligation or Mixture problems
Rs. 675 was divided among 75 boys and girls. Each boy gets Rs. 20 whereas a girl gets Rs. 5. Find the number of boys and girls.

30 , 45
20 , 55
25 , 50
15 , 60

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Average money per head (boy or girl) = Rs. (675 / 75) = Rs. 9 Number of boys = 4 / (4 + 11) × 75 = 20 Number of girls = 11 / (4 + 11) × 75 = 55.

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?

50.7
49.6
51.2
52.3

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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