Ratio, Proportion


  1. Two alloys are both made up of copper and tin. The ratio of copper and tin in the first alloy is 1 : 3 and in the second alloy is 2 : 5. In what ratio should the two alloys be mixed to obtain a new alloy in which the ratio of tin and copper be 8 : 3 ?









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    Required ratio =
    1
    :
    1
    = 4 : 7
    7744

    Correct Option: B


    Required ratio =
    1
    :
    1
    = 4 : 7
    7744


  1. The proportion of acid and water in three samples is 2 : 1, 3 : 2 and 5 : 3. A mixture containing equal quantities of all three samples is made. The ratio of water and acid in the mixture is :









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    Required ratio

    =
    2
    +
    3
    +
    5
    :
    1
    +
    2
    +
    3
    358358

    =
    80 + 72 + 75
    :
    40 + 48 + 45
    120120

    = 227 : 133

    Correct Option: B

    Required ratio

    =
    2
    +
    3
    +
    5
    :
    1
    +
    2
    +
    3
    358358

    =
    80 + 72 + 75
    :
    40 + 48 + 45
    120120

    = 227 : 133



  1. A container contains 60 kg of milk. From this container 6 kg of milk was taken out and replaced by water. This process was repeated further two times. The amount of milk left in the container is









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    Amount of milk left = Initial amount ×

    1 −
    Amount taken out in each operation
    3
    Initial amount

    = 601 −
    6
    3
    60

    = 601 −
    6
    3
    10

    = 60 ×
    9
    ×
    9
    ×
    9
    101010

    = 43.74 kg.

    Correct Option: C

    Amount of milk left = Initial amount ×

    1 −
    Amount taken out in each operation
    3
    Initial amount

    = 601 −
    6
    3
    60

    = 601 −
    6
    3
    10

    = 60 ×
    9
    ×
    9
    ×
    9
    101010

    = 43.74 kg.


  1. Two vessels A and B contain milk and water mixed in the ratio 4 : 3 and 2 : 3. The ratio in which these mixtures be mixed to form a new mixture containing half milk and half water is









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    ∴  Required ratio =
    1
    :
    1
    = 7 : 5
    1014

    Correct Option: A


    ∴  Required ratio =
    1
    :
    1
    = 7 : 5
    1014



  1. A vessel is filled with liquid, 3 parts of which are water and 5 parts 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 ?









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    Ratio = 4 : 1

    ∴  Required quantity =
    1
    5

    Correct Option: C


    Ratio = 4 : 1

    ∴  Required quantity =
    1
    5