Alligation or Mixture

Alligation or Mixture

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Aptitude miscellaneous
  1. 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 —








  1. View Hint View Answer Discuss in Forum

    Here , C1 = 8% , C2 = 18% and Mean Profit ( M ) = 14%
    Ratio of 1st and 2nd part = 4 : 6 = 2 : 3
    Using the method of alligation ,


    Correct Option: B

    Here , C1 = 8% , C2 = 18% and Mean Profit ( M ) = 14%
    Ratio of 1st and 2nd part = 4 : 6 = 2 : 3

    Quantity sold at 18% =50 ×
    3
    		= 30 kg
    2

    Using the method of alligation ,


  1. Two vessels A and B contains milk and water mixed in the ratio 5 : 3 and 2 : 3. When these mixtures are mixed to form a new mixture containing half milk and half water, they must be taken in the ratio —








  1. View Hint View Answer Discuss in Forum

    As per the given question , we can say that

    Milk in A =
    5
    		 of whole, Milk in B =
    2
    		 of whole,
    85
    Milk in mixture of A and B =
    1
    2

    ∵ By alligation rule ,

    Correct Option: C

    As per the given question , we can say that

    Milk in A =
    5
    		 of whole, Milk in B =
    2
    		 of whole,
    85
    Milk in mixture of A and B =
    1
    2

    ∵ By alligation rule ,
    (Mix. in A) : (Mix. in B) =
    1
    		 :
    1
    108

    (Mix. in A) : (Mix. in B) = 4 : 5

  1. The ratio of milk and water in 66 kg of adulterated milk is 5 : 1. Water is added to it to make the ratio 5 : 3. The quantity of water added is —








  1. View Hint View Answer Discuss in Forum

    Here , Ratio of of milk and water in 66 kg of adulterated milk = 5 : 1
    In first mixture :

    Milk =
    66 × 5
    		= 55 kg
    6

    and water = 11 kg
    In second mixture :
    Ratio = 5 : 3
    If milk is 55 kg then water =
    3
    		× 55
    5

    Correct Option: A

    Here , Ratio of of milk and water in 66 kg of adulterated milk = 5 : 1
    In first mixture :

    Milk =
    66 × 5
    		= 55 kg
    6

    and water = 11 kg
    In second mixture :
    Ratio = 5 : 3
    If milk is 55 kg then water =
    3
    		× 55
    5
    New quantity of water = 33 kg
    ∴ Water to be added = 33 - 11 = 22 kg.

  1. In what proportion must wheat at Rs. 1·60 per kg be mixed with wheat at Rs. 1·45 per kg. So that the mixture be worth Rs. 1·54 per kg?








  1. View Hint View Answer Discuss in Forum

    Here , C1 = 160 paise , C2 = 145 paise and Mean cost Price ( M ) = 154 paise
    Required ratio = ( M - C2 ) : ( C1 - M )


    Correct Option: B

    Using the Alligation method ,
    Here , C1 = 160 paise , C2 = 145 paise and Mean cost Price ( M ) = 154 paise
    Required ratio = ( M - C2 ) : ( C1 - M )
    ∴ (Dearer wheat) : (Cheaper wheat) = 9 : 6
    Hence , (Dearer wheat) : (Cheaper wheat) = 3 : 2


  1. In what proportion should water and wine at Rs. 22·50 a liter be mixed to reduce the price to Rs. 18 a liter ?








  1. View Hint View Answer Discuss in Forum

    Here ,Mean cost price Z = Rs.18
    According to question , we have

    Required proportion =
    C2 – Z
    Z – C1

    Required proportion =
    20·50 – 18
    18 – 0

    Correct Option: A

    Here ,Mean cost price Z = Rs.18
    According to question , we have

    Required proportion =
    C2 – Z
    Z – C1

    Required proportion =
    20·50 – 18
    18 – 0

    [Water worths Rs. 0 a litre]
    Required proportion =
    4·50
    		 = 1 : 4.
    18