Ratio, Proportion


  1. ₹ 1740 is divided among A, B, and C such that 0.5 of A = ₹ 0.6 of B = ₹ 0.75 of C. Then C will get









  1. View Hint View Answer Discuss in Forum

    A × 0.5 = B × 0.6 = C × 0.75

    ⇒ 
    A × 5
    =
    B × 6
    = C ×
    75
    1010100

    ⇒ 
    A
    =
    B
    =
    C
    25/34/3

    ∴  A : B : C = 2 :
    5
    =
    4
    33

    = 6 : 5 : 4
    ∴  C’s share =
    4
    × 1740 = ₹ 464
    15

    Correct Option: D

    A × 0.5 = B × 0.6 = C × 0.75

    ⇒ 
    A × 5
    =
    B × 6
    = C ×
    75
    1010100

    ⇒ 
    A
    =
    B
    =
    C
    25/34/3

    ∴  A : B : C = 2 :
    5
    =
    4
    33

    = 6 : 5 : 4
    ∴  C’s share =
    4
    × 1740 = ₹ 464
    15


  1. ₹ 738 is divided among A, B, C so that their shares are in the ratio of 2 : 3 : 4. B’s share is









  1. View Hint View Answer Discuss in Forum

    B’s share =
    3
    × 738
    (2 + 3 + 4)

    =
    3
    × 738 = ₹ 246
    9

    Correct Option: B

    B’s share =
    3
    × 738
    (2 + 3 + 4)

    =
    3
    × 738 = ₹ 246
    9



  1. ₹ 180 are to be divided among 66 persons (men and women). The ratio of the total amount of money received by men and women is 5 : 4. But the ratio of the money received by each man and woman is 3 : 2. The number of men is









  1. View Hint View Answer Discuss in Forum

    Suppose amount received by men = 5x.
    and amount received by women = 4x
    According to question
    5x + 4x = 180
    ⇒  9x = 180 ⇒ x = 20
    ∴  Amount received by men = ₹ 100
    Amount received by women= ₹ 80
    Suppose the number of men be y and that of women be (66 – y).
    According to question

    100
    = 3/2
    y
    80
    60 − y

    ⇒ 
    100
    ×
    66 − y
    =
    3
    y802

    ⇒ 
    5(66 − y)
    =
    3
    4y2

    ⇒  660 – 10y = 12y
    ⇒  22y = 660 ⇒ y = 30

    Correct Option: C

    Suppose amount received by men = 5x.
    and amount received by women = 4x
    According to question
    5x + 4x = 180
    ⇒  9x = 180 ⇒ x = 20
    ∴  Amount received by men = ₹ 100
    Amount received by women= ₹ 80
    Suppose the number of men be y and that of women be (66 – y).
    According to question

    100
    = 3/2
    y
    80
    60 − y

    ⇒ 
    100
    ×
    66 − y
    =
    3
    y802

    ⇒ 
    5(66 − y)
    =
    3
    4y2

    ⇒  660 – 10y = 12y
    ⇒  22y = 660 ⇒ y = 30


  1. A sum of ₹ 7,000 is divided among A, B, 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 share of B is









  1. View Hint View Answer Discuss in Forum

    A : B = 2 : 3
    B : C = 4 : 5
    ∴  A : B : C = 8 : 12 : 15

    ∴ B’s share =
    12
    × 7000 = ₹ 2400
    35

    Correct Option: A

    A : B = 2 : 3
    B : C = 4 : 5
    ∴  A : B : C = 8 : 12 : 15

    ∴ B’s share =
    12
    × 7000 = ₹ 2400
    35



  1. A sum of ₹ 86, 700 is to be divided among A, B and C in such a manner that for every rupee that A gets, B gets 90 paise and for every rupee that B gets, C gets 100 paise. B’s share will be









  1. View Hint View Answer Discuss in Forum

    When A gets 100 paise, B gets 90 Paise
    When B gets 100 paise, C gets 110 paise
    ∴  When B gets 90 paise, C gets

    110
    × 90 = 99 paise
    100

    ∴  A : B : C = 100 : 90 : 99
    Sum of the ratios = 100 + 90 + 99 = 289
    ∴  B’ share =
    90
    × 86700 = ₹ 27000
    289

    Correct Option: B

    When A gets 100 paise, B gets 90 Paise
    When B gets 100 paise, C gets 110 paise
    ∴  When B gets 90 paise, C gets

    110
    × 90 = 99 paise
    100

    ∴  A : B : C = 100 : 90 : 99
    Sum of the ratios = 100 + 90 + 99 = 289
    ∴  B’ share =
    90
    × 86700 = ₹ 27000
    289