Ratio, Proportion


  1. 5 men , 6 women and 7 boys finished a work in 3 days and got the remuneration of Rs . 2137.50 for it. If the work of 1 man , 1 woman , and 1 boy in one day be in the proportion of
    1
    :
    1
    :
    1
    , what sum did each man get on a day ?
    234









  1. View Hint View Answer Discuss in Forum

    Ratio of wages of 1 man , 1 woman and 1 boy

    =
    1
    :
    1
    :
    1
    = 6 : 4 : 3
    234

    Each man’s wages
    =
    6
    "
    2137.5
    ≠ Rs . 197
    135

    Correct Option: B

    Ratio of wages of 1 man , 1 woman and 1 boy

    =
    1
    :
    1
    :
    1
    = 6 : 4 : 3
    234

    Each man’s wages
    =
    6
    "
    2137.5
    ≠ Rs . 197
    135


  1. One morning after purchasing 6 litres of milk from a milk man , a householder found that the weight of this quantity of milk was 6 .144 kg . If one litre of the pure milk weighs 1 .032 kg and that of one litre of the pure water 1 kg . then how much water was added to milk ?









  1. View Hint View Answer Discuss in Forum

    Weight of 1 kg of impure milk ;
    6. 144
    = 1.024 kg
    6

    Weight of water
    6 –
    1.024
    " 6
    1.032

    = 6 – 5 .9 5
    = 0.05 kg

    Correct Option: C

    Weight of 1 kg of impure milk ;
    6. 144
    = 1.024 kg
    6

    Weight of water
    6 –
    1.024
    " 6
    1.032

    = 6 – 5 .9 5
    = 0.05 kg



  1. A , B a nd C go into a business as partners with the agreement that their shares of pro fit will be in the
    proportion of their capitals . If A ’s capital : B ’s capital = 2:3, and B ’s capital : C ’s capital = 2 : 5 , find their shares in a profit of Rs . 3250.









  1. View Hint View Answer Discuss in Forum

    A : B = 2 : 3 = 4 : 6
    B :C = 2 : 5 = 6 : 1 5
    A : B : C = 4 : 6 : 1 5
    A + B + C = 4 + 6 + 15 = 25

    A’s share =
    4
    " 3250 = Rs . 520
    25

    B’s share =
    6
    " 3250 = Rs . 780
    25

    C’s share =
    15
    " 3250 = Rs . 1950
    25

    Correct Option: A

    A : B = 2 : 3 = 4 : 6
    B :C = 2 : 5 = 6 : 1 5
    A : B : C = 4 : 6 : 1 5
    A + B + C = 4 + 6 + 15 = 25

    A’s share =
    4
    " 3250 = Rs . 520
    25

    B’s share =
    6
    " 3250 = Rs . 780
    25

    C’s share =
    15
    " 3250 = Rs . 1950
    25


  1. Three vessels of equal volumes contain water and syrup in the ratio 4 : 1 , 5 : 2 and 7 : 3 respectively . When they are thoroughly mixed together in a large vessel, find the resulting ratio of water and syrup in the mixture . (Assume that in the mixture total volume remains unaltered ).









  1. View Hint View Answer Discuss in Forum

    Let the capacity of each vessel be x litres.
    ∴  Ratio

    =
    4x
    )
    5x
    )
    7x
    :
    x
    )
    2x
    )
    3x
    57105710

    =
    56x ) 50x ) 49x
    :
    14x ) 20x ) 21x
    7070
    =
    155x
    :
    55x
    7070

    = 31 : 11

    Correct Option: C

    Let the capacity of each vessel be x litres.
    ∴  Ratio

    =
    4x
    )
    5x
    )
    7x
    :
    x
    )
    2x
    )
    3x
    57105710

    =
    56x ) 50x ) 49x
    :
    14x ) 20x ) 21x
    7070
    =
    155x
    :
    55x
    7070

    = 31 : 11



  1. 3 litres of a mixture containing wine and water in the ratio 3 : 7 and 4 litres of another mixture containing wine and water in the ratio 3 : 5 are mixed together. What is the ratio of wine and water in the resulting mixture ?









  1. View Hint View Answer Discuss in Forum

    In 3 litres of mixture ,

    Wine =
    3 " 3
    ;
    9
    litre
    1010

    Water =
    7
    " 3 ;
    21
    litre
    1010

    In 4 litres of mixture ,
    Wine =
    3
    " 4 ;
    3
    litres
    82

    Water =
    5
    " 4 ;
    5
    litres
    82

    In resulting mixture ,
    Wine : Water
    =
    9
    )
    3
    :
    21
    )
    5
    102102

    = 24 : 46 = 12 : 23

    Correct Option: B

    In 3 litres of mixture ,

    Wine =
    3 " 3
    ;
    9
    litre
    1010

    Water =
    7
    " 3 ;
    21
    litre
    1010

    In 4 litres of mixture ,
    Wine =
    3
    " 4 ;
    3
    litres
    82

    Water =
    5
    " 4 ;
    5
    litres
    82

    In resulting mixture ,
    Wine : Water
    =
    9
    )
    3
    :
    21
    )
    5
    102102

    = 24 : 46 = 12 : 23