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Mixture & Alligation Test 268
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Mixture & Alligation Test 268

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  • Question 1/10
    1 / -0.25
    729 ml of a mixture contains milk and water in the ratio 7 : 2. How much more water is to be added to get a new mixture containing milk and water in the ratio 7 : 3?
    Solutions
    Quantity of milk in mixture

    Quantity of water in mixture

    According to question,
  • Question 2/10
    1 / -0.25
    A trader had 13 quintals of wheat. He sold a part of it at 14% profit and the rest at 24 % profit, so that he made a total profit of 18%. How much wheat did he sell at 24% profit?
    Solutions
    Solving this question by alligation,

    Wheat I              Wheat II

       14                      24

                    18

        6                       4

    =  3           :          2
     
    From the diagram, we find the ratio between the quantity of wheat sold at 14% profit and that sold at 24% profit.
    Therefore, the quantity of wheat sold at 24% profit = 2/5 × 1300
    = 520 kg
  • Question 3/10
    1 / -0.25
    A mixture contains spirit and water in the ratio of 5:7. If the total mixture is 48 litre. Now if we want to make the ratio of sprit and water 2:3. Find how much litr. of water should be added in the mixture and also find the total percentage of water in the final mixture
    Solutions

    Let the quantity of water added is x.
    =
    60 = 56+ 2x
    x=2
    Now, quantity of water in final mixture = 28+2 = 30 lit.
    Percentage =     = × 100 = 60 %
  • Question 4/10
    1 / -0.25
    A vessel of capacity 90 liters is fully filled with pure milk. 9 liters of milk is removed from the vessel and replaced with water. 9 liters of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
    Solutions
    Amount of milk left after 2 operations
  • Question 5/10
    1 / -0.25
    In two types of stainless steel, the ratio of chromium and steel are 2 : 11 and 5 : 21 respectively. In what proportion should the two types be mixed so that the ratio of chromium to steel in the mixed type becomes 7 : 32?
    Solutions
    Stainless Steel I II III
    Chromium
    Required ratio =
  • Question 6/10
    1 / -0.25
    In a mixture of 25 litres, the ratio of acid to water is 4:1. Another 3 litres of water is added to the mixture. The ratio of acid to water in the new mixture is
    Solutions
    In 25 litres of the mixture,
    Acid litres, Water = 5 litres
    Now, according to the question,
    3 litres of water is added to the mixture.
    New ratio = 20 : (5 + 3) = 20 : 8 = 5 : 2
  • Question 7/10
    1 / -0.25
    Two solutions of 90% and 97% purity are mixed, resulting in 21 litres of mixture of 94% purity. The quantity of the second solution in the resulting mixture, in litres, is:
    Solutions
    By applying Alligation Method:

     90           97

            94

     3      :       4 

    Here, 3 + 4 = 7 is equal to 21 litres 

    So, 4 units will be equal to 12 litres.
  • Question 8/10
    1 / -0.25
    In three equal containers, respective ratio of milk and water are 4:3, 8:6 and 15:6 respectively. If all of these mixtures are mixed, then what would be the respective ratio of milk and water in new mixture?
    Solutions
    Let 1 liter of the mixture is present in each container.

    Then, total volume of milk = liters

    Total volume of mixture = 1+1+1 = 3 liters 
    Volume of water = 3- liters 
    Required ratio =
  • Question 9/10
    1 / -0.25
    A milkman makes 20% profit by selling milk mixed with water at Rs. 9 per litre. If the cost price of 1 litre pure milk is Rs. 10 then the ratio of milk and water in the said mixture is how much?
    Solutions
    Short Trick:
    SP at 20% profit = 9 Rs
    CP = 9*100/120 = 7.5 Rs
    Now the CP of Milk = 10 Rs
    CP of Water = 0
    Using Alligation
    10             0
            7.5
    7.5     :      2.5
    3        :       1
    Basic Method:
    Milk : Water = K : 1
    S.P. = (K + 1) × 9
    C.P. = 10 K
    Gain = S.P. - C.P. = 9K+9–10K = 9 – K
    Gain

    Ratio = 3 : 1
  • Question 10/10
    1 / -0.25
    In a mixture of 120 liters, milk and water are in the ratio of 7:5 and in the second mixture of 180 liters, milk and water are in the ratio of 2:1. Find the percentage of total milk in the mixture of both.
    Solutions
    1) Milk = 70
    Water = 50
    2) Milk = 120
    Water = 60
    Total Percentage : = × 100 = 63 %
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