Percentage


  1. 20 litres of a mixture contains 20% alcohol and the rest water. If 4 litres of water be mixed in it, the percentage of alcohol in the new mixture will be









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    In 20 litres of mixture,

    Alcohol ⇒
    20 × 20
    = 4 litres
    100

    Water ⇒ 20 - 4 = 16 litres
    On adding 4 litres of water,
    Quantity of water ⇒ 16 + 4 = 20 litres
    Quantity of mixture = 24 litres
    ∴ Required percent =
    4
    × 100
    24

    Correct Option: B

    In 20 litres of mixture,

    Alcohol ⇒
    20 × 20
    = 4 litres
    100

    Water ⇒ 20 - 4 = 16 litres
    On adding 4 litres of water,
    Quantity of water ⇒ 16 + 4 = 20 litres
    Quantity of mixture = 24 litres
    ∴ Required percent =
    4
    × 100
    24

    Required percent =
    50
    = 16
    2
    %
    33


  1. In what ratio must 25% of alcohol be mixed with 50% of alcohol to get a mixture of 40% strength alcohol ?









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    ∴ Required ratio = Alcohol I : Alcohol II

    Correct Option: C


    ∴ Required ratio = Alcohol I : Alcohol II

    ∴ Required ratio =
    1
    :
    3
    = 2 : 3
    1020



  1. In an alloy there is 12% of copper. To get 69 kg of copper, how much alloy will be required ?









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    ∵ 12 kg copper is contained in 100 kg of alloy
    69 kg copper is contained in

    100
    × 69
    12

    Correct Option: B

    ∵ 12 kg copper is contained in 100 kg of alloy
    69 kg copper is contained in

    100
    × 69 = 575 kg of alloy
    12


  1. 15 litres of a mixture contains alcohol and water in the ratio 1 : 4. If 3 litres of Water is mixed in it, the percentage of alcohol in the new mixture will be









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    Alcohol = 15 ×
    1
    = 3 litres
    5

    Water =15 ×
    4
    = 12 litres
    5

    ∴ Required percentage =
    3
    × 100
    15 + 3

    Correct Option: B

    Alcohol = 15 ×
    1
    = 3 litres
    5

    Water =15 ×
    4
    = 12 litres
    5

    ∴ Required percentage =
    3
    × 100
    15 + 3

    Required percentage =
    50
    = 16
    2
    %
    33



  1. The ratio in which two sugar solutions of the concentrations 15% and 40% are to be mixed to get a solution of concentration 30% is









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    By mixture or alligation method , we have

    Correct Option: A

    By mixture or alligation method , we have

    ∴ Required ratio = 10 : 15 = 2 : 3