Ratio, Proportion

Ratio, Proportion

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  1. In an alloy, the ratio of copper and zinc is 5 : 2. If 1.250 kg of zinc is mixed in 17 kg 500 g of
    alloy, then the ratio of copper and zinc will be








  1. View Hint View Answer Discuss in Forum

    Weight of copper in 17kg 500 gm i.e. 17500 gm of alloy

    =
    5
    		 × 17500 = 12500 gm
    7

    Weight of zinc = (17500 – 12500)
    = 5000 gm
    1250 gm of zinc is mixed in alloy.
    ∴  Total weight of zinc
    = 1250 + 5000 = 6250 gm.
    ∴  Required ratio
    = 12500 : 6250 = 2 : 1

    Correct Option: A

    Weight of copper in 17kg 500 gm i.e. 17500 gm of alloy

    =
    5
    		 × 17500 = 12500 gm
    7

    Weight of zinc = (17500 – 12500)
    = 5000 gm
    1250 gm of zinc is mixed in alloy.
    ∴  Total weight of zinc
    = 1250 + 5000 = 6250 gm.
    ∴  Required ratio
    = 12500 : 6250 = 2 : 1

  1. Alcohol and water in two vessels A and B are in the ratio 5 : 3 and 5 : 4 respectively. In what ratio, the liquids in both the vessels be mixed to obtain a new mixture in vessel C in the ratio 7 : 5 ?








  1. View Hint View Answer Discuss in Forum

    By Alligation Rule

    ∴  Ratio =
    1
    		 :
    1
    3624

    = 3 : 2

    Correct Option: B

    By Alligation Rule

    ∴  Ratio =
    1
    		 :
    1
    3624

    = 3 : 2

  1. A sum of money is divided among A, B, C and D in the ratio of 3 : 7 : 9 : 13 . If the share of B is ₹, then what will be the total amount of money of A and C together ?










  1. View Hint View Answer Discuss in Forum

    Let A's share = 3N
    B's share = 9N
    and D's share = 13N
    According to the question
    7N = 4872
    ∴ N = 4872/7 = 696
    Share of A and C = 3N + 9N = 12N

    Correct Option: A

    Let A's share = 3N
    B's share = 9N
    and D's share = 13N
    According to the question
    7N = 4872
    ∴ N = 4872/7 = 696
    Share of A and C = 3N + 9N = 12N
    = 12 x 696 = ₹ 8352

  1. A sum of ₹ 7000 is divided among A, B, and C in such a way that the shares of A and B are in the ratio 2 : 3 and those of B and C are in the ratio 4 : 5, The ahare of B is








  1. View Hint View Answer Discuss in Forum

    Given, A : B = 2 : 3
    and B : C = 4 : 5
    Then, A : B : C = 8 : 12 : 15
    7there4; Share of B = [12/(8 + 12 + 15)] x 7000

    Correct Option: C

    Given, A : B = 2 : 3
    and B : C = 4 : 5
    Then, A : B : C = 8 : 12 : 15
    7there4; Share of B = [12/(8 + 12 + 15)] x 7000
    = (12 x 7000)/35
    = 2400
    = ₹ 2400

  1. The quantity that must be added to each term of a : b, so as to make it c : d, is








  1. View Hint View Answer Discuss in Forum

    Let the quantity be k.
    Then, (a + k) / (b + k) = c/d

    Correct Option: D

    Let the quantity be k.
    Then, (a + k) / (b + k) = c/d
    ⇒ (a + k)d = (b + k)c
    ⇒ ad + dk = bc + ck
    ⇒ ad - bc = ck - dk
    ⇒ ad - bc = k(c - d)
    ∴ k = (ad - bc) / (c - d)