Ratio, Proportion

Ratio, Proportion

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Aptitude miscellaneous
  1. Two number are in the ratio of 4 : 7. If 5 is subtracted from each, the ratio becomes 1 : 2. Find the greater number.








  1. View Hint View Answer Discuss in Forum

    Let 1st number be 4k and 2nd number be 7k.
    According to the question,
    (4k - 5) / (7k - 5) = 1/2

    Correct Option: D

    Let 1st number be 4k and 2nd number be 7k.
    According to the question,
    (4k - 5) / (7k - 5) = 1/2
    ⇒ 8k - 10 = 7k - 5
    ⇒ 8k - 7k = 10 - 5
    ∴ k = 5
    ∴ Greater number = 7k = 7 x 5 = 35

  1. What sum of money is to divided among 3 persons in the ratio 3 : 4 : 7, so that the second person receives ₹ 12 only ?








  1. View Hint View Answer Discuss in Forum

    Let required money be ₹ N.
    Then,
    (4/14) x N = 12

    Correct Option: D

    Let required money be ₹ N.
    Then,
    (4/14) x N = 12
    ⇒ N = (12 x 14)/4
    = ₹ 42

  1. The price of a scooter and a television are in the ratio of 8 : 7. If a scooter costs ₹ 2000 more than television, then find out the price of television.










  1. View Hint View Answer Discuss in Forum

    Let the price of scooter = 8k and price of television = 7k
    According to the question,
    8k - 7k = 2000

    Correct Option: A

    Let the price of scooter = 8k and price of television = 7k
    According to the question,
    8k - 7k = 2000
    ∴ k = 2000
    ∴ Price of television = 7k = 7 x 2000
    = ₹ 14000

  1. 55 litres of a mixture has milk and water in the ratio 7 : 4 . How much water must be added to get milk and water in the ratio 7 : 6 in the resulting mixture .








  1. View Hint View Answer Discuss in Forum

    Milk : Water = 7 : 4
    Sum of the ratios = 7 + 4 = 11

    ∴  Fraction of water in the given mixture =
    4
    		.
    11

    For water to be added , fraction = 1.
    Similarly ,
    Fraction of water in the resulting mixture =
    6
    		.
    13

    By Alligation Rule

    So , water must be added to the mixture in the ratio
    14
    		 :
    7
    14313

    =
    2
    		: 1 = 2 : 11.
    11

    ∴  Quantity of water to be added =
    2
    		" 55 ; 10 litres.
    11

    Correct Option: D

    Milk : Water = 7 : 4
    Sum of the ratios = 7 + 4 = 11

    ∴  Fraction of water in the given mixture =
    4
    		.
    11

    For water to be added , fraction = 1.
    Similarly ,
    Fraction of water in the resulting mixture =
    6
    		.
    13

    By Alligation Rule

    So , water must be added to the mixture in the ratio
    14
    		 :
    7
    14313

    =
    2
    		: 1 = 2 : 11.
    11

    ∴  Quantity of water to be added =
    2
    		" 55 ; 10 litres.
    11

  1. 12 litres of a mixture has wine and water in the ratio 2 : 3 . How much water must be added to get wine to water ratio of 3 :7 in the resultant mixture ?








  1. View Hint View Answer Discuss in Forum

    In the given mixture , wine : wate r = 2 : 3

    Fraction of water in the given mixture =
    3
    5

    For water to be added , fraction = 1
    Fraction of water in the resultant mixture =
    7
    10


    So , water must be added to the mixture in the ratio 1 : 3 .
    Quantity of water to be added
    =
    1
    		" 12 ; 4 litres.
    3

    Correct Option: D

    In the given mixture , wine : wate r = 2 : 3

    Fraction of water in the given mixture =
    3
    5

    For water to be added , fraction = 1
    Fraction of water in the resultant mixture =
    7
    10


    So , water must be added to the mixture in the ratio 1 : 3 .
    Quantity of water to be added
    =
    1
    		" 12 ; 4 litres.
    3