Ratio, Proportion

Ratio, Proportion

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Aptitude miscellaneous
  1. ₹ 750 is distributed among A, B and C such that A : B = 5 : 2, B : C = 7 : 13, then what is A's part ?








  1. View Hint View Answer Discuss in Forum

    A : B = 5 : 2 = 5/2 : 1, B : C = 7 : 13 = 1 : 13/7
    A : B : C = 5/2 : 1 : 13/7 = 35 : 14 : 26

    Correct Option: D

    A : B = 5 : 2 = 5/2 : 1, B : C = 7 : 13 = 1 : 13/7
    A : B : C = 5/2 : 1 : 13/7 = 35 : 14 : 26
    ∴ A's part = 750 x 35/75 = ₹ 350

  1. A, B and C started a business by investing ₹ 28000, ₹ 35000 and ₹ 14000, respectively, At the end of a year, they got a total profit of ₹ 5225. Find A's share ?








  1. View Hint View Answer Discuss in Forum

    Ratio of shares of A, B and C = Ratio of their investments
    = 28000 : 35000 : 14000 = 4 : 5 : 2

    Correct Option: C

    Ratio of shares of A, B and C = Ratio of their investments
    = 28000 : 35000 : 14000 = 4 : 5 : 2
    ∴ A's share = (4/11) x 5225 = ₹ 1900

  1. A, B and C started a business by investing ₹ 45000, ₹ 55000 and ₹ 60000, respectively, At the end of the year, they got a total profit of ₹ 11200. Find how much B gets more than A in the profit ?








  1. View Hint View Answer Discuss in Forum

    Ratio of share of A, B and C = Ratio of their investments
    = 45000 : 55000 : 60000 = 9 : 11 : 12
    A's share = (9/32) x 11200 = ₹ 3150
    B's share = (11/32) x 11200 = ₹ 3850

    Correct Option: A

    Ratio of share of A, B and C = Ratio of their investments
    = 45000 : 55000 : 60000 = 9 : 11 : 12
    A's share = (9/32) x 11200 = ₹ 3150
    B's share = (11/32) x 11200 = ₹ 3850
    ∴ B's share more than A = ( 3850 - 3150) = ₹ 700

  1. If 2A = 3B = 4C then, find A : B : C ?








  1. View Hint View Answer Discuss in Forum

    Given 2A = 3B = 4C
    Now 2A = 3B
    ⇒ A/B = 3/2
    or A : B = 3 : 2 = (3 x 2) : (2 : 2) = 6 : 4

    Again 3B = 4C
    ⇒ B/C = 4/3
    or B : C = 4 : 3

    Correct Option: C

    Given 2A = 3B = 4C
    Now 2A = 3B
    ⇒ A/B = 3/2
    or A : B = 3 : 2 = (3 x 2) : (2 : 2) = 6 : 4

    Again 3B = 4C
    ⇒ B/C = 4/3
    or B : C = 4 : 3

    ∴ A : B : C = 6 : 4 : 3

  1. Find the 4th proportional to 4 , 16 and 7 ,








  1. View Hint View Answer Discuss in Forum

    Lat the 4th proportional = N
    Then, 4 : 16 : : 7 : N
    ⇒ 4/16 = 7/N

    Correct Option: A

    Lat the 4th proportional = N
    Then, 4 : 16 : : 7 : N
    ⇒ 4/16 = 7/N
    ⇒ 4N = 7 x 16
    ∴ N = (7 x 16)/4 = 7 x 4 = 28