Ratio, Proportion

Ratio, Proportion

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Aptitude miscellaneous
  1. In a school the ratio of boy and girls is 4 : 5 When 100 girls leave the school the ratio become 6 : 7. How many boys are there in the school ?








  1. View Hint View Answer Discuss in Forum

    Let number of boys = 4N and number of girls = 5N
    Accounting to the question
    4N / (5N - 100) = 6/7

    Correct Option: B

    Let number of boys = 4N and number of girls = 5N
    Accounting to the question
    4N / (5N - 100) = 6/7
    ⇒ 28N = 6 ( 5N - 100 )
    ⇒ 28N = 30N - 600
    ⇒ 2N = 600
    ∴ N = 600/2 = 300
    ∴ Number of boys = 4N = 4 x 300 = 1200

  1. In a class the number of boys and girls is in the ratio of 4 : 5. If 10 more boys join the class, the ratio of numbers of boys and girls become 6 : 5. How many girls there in the class ?








  1. View Hint View Answer Discuss in Forum

    Let original number of boys = 4N and number of girls = 5N
    According to the question
    (4N + 10)/5N = 6/5

    Correct Option: C

    Let original number of boys = 4N and number of girls = 5N
    According to the question
    (4N + 10)/5N = 6/5
    ⇒ 30N = 20N + 50
    ⇒ 10N = 50
    ∴ N = 50/10 = 5
    ∴ Number of girls = 5N = 5 x 5 = 25

  1. The total number of student in a school is 8670. If the number of boys in the school is 4545, then what will be the ratio of the total number of boys to the total number of girls in the school ?








  1. View Hint View Answer Discuss in Forum

    Total number of student = 8670
    Total number of boys = 4545
    ∴ Total number of girls = 8670 - 4545 = 4125

    Correct Option: A

    Total number of student = 8670
    Total number of boys = 4545
    ∴ Total number of girls = 8670 - 4545 = 4125
    ∴ Required ratio = 4545 : 4125 = 303 : 275

  1. A truck covers a distance 640 km in 10 h. A car covers the same distance in 8 h. What is the respective ratio of speed of the truck to that of car ?








  1. View Hint View Answer Discuss in Forum

    Speed of truck 640/10 = 64 km/h
    Speed of car = 640/8 = 80 km/h

    Correct Option: C

    Speed of truck 640/10 = 64 km/h
    Speed of car = 640/8 = 80 km/h
    So, the required ratio = 64/80 = 4/5 = 4 : 5

  1. A certain distance is covered at a certain speed. If half of this distance is covered in double the time, the ratio of the two speeds is








  1. View Hint View Answer Discuss in Forum

    Case I Speed = Distance/ Time
    Case II Speed = (Distance/2) / (2 x Time) = Distance / (4 x Time)

    Correct Option: B

    Case I Speed = Distance/ Time
    Case II Speed = (Distance/2) / (2 x Time) = Distance / (4 x Time)
    ∴ Required ratio = 1/4 = 1:4