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Ratio and Proportion Test - 2

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Ratio and Proportion Test - 2
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  • Question 1
    1 / -0

    If A : B = 5 : 6 and B : C = 8 : 9, Find A : B : C

    Solution

    Given, A:B=5:6

    Multiplying it with 4, we get A:B=20:24

    And, B:C=8:9

    Multiplying it with 3, we get A:B=24:27

    In the given ratios "B" is the common term, and the values of B in both ratios are equal.

    Therefore, A:B:C=20:24:27

     

  • Question 2
    1 / -0

    Two numbers are respectively 30% and 20% more than a third number. The ratio of the two numbers is

    Solution

    Let the third number be x.

    First Number (130/100)x = 13x/10

    Second Number (120/100)x = 12x/10

    Ratio = 13x/10 : 12x/10

    ⇒ 13:12

     

  • Question 3
    1 / -0

    In a college, the ratio of the number of boys to girls is 16 : 10. If there are 250 girls, the total number of students in the college is

    Solution

    Given ratio = 16 : 10 = 8 : 5

    the boy are 8x and Girls are 5x

    ⇒ 5x = 250

    ⇒ x = 50

    Total students = 8x+5x = 13x = 13(50) = 650

     

  • Question 4
    1 / -0

    The least whole number which when subtracted from both the terms of the ratio 12 : 14 to give a ratio less than 32 : 42, is

    Solution

    Given ratio are,

    12 : 14 = 6 : 7 and 32 : 42 = 16 : 21

    Let x is subtracted.

    Then,

    (6−x)/(7−x) < 16/21

    21(6-x) < 16(7-x)

    5x > 14

    x > 2.8

    Least such number is 3.

     

  • Question 5
    1 / -0

    15:65::?:130

    Solution

    Given 15:65::?:130

    So, the missing term = 15×30 / 65 = 30

     

  • Question 6
    1 / -0

    Find the fourth proportion to 2,3,6

    Solution

    2 : 3 :: 6 : x

    ⇒ 2/3 = 6/x

    ⇒ x = 18/2

    ⇒ x = 9

     

  • Question 7
    1 / -0

    Jaggu takes 2 leaps for every 3 leaps of monty. If one leap of the Jaggu is equal to 4 leaps of the Monty, the ratio of the speed of the Jaggu to that of the Monty is

    Solution

    Jaggu : Monty = (2 x 4) leaps of Monty : 3 leaps of Monty

    = 8 : 3

     

  • Question 8
    1 / -0

    If Rs. 1564 is divided into three parts, proportional to 12:24:34. find the first part.

    Solution

    12 : 24 : 34 = 6 : 8 : 9

    6x + 8x + 9x = 1564

    23x = 1564

    x = 68

    First part = 68 x 6

    = 408.

     

  • Question 9
    1 / -0

    Two numbers are respectively 10% and 40% more than a third number. The ratio of the two numbers is

    Solution

    Let the third number be a.

    First Number (110/100)xa = 11a/10

    Second Number (140/100)xa = 7a/5

    Ratio = 11a/10 : 7a/5

    ⇒ 55 : 77

     

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