Ratios and Proportions Test

  1. John has an income of $30000 and he pays $6000 as income tax. Find the ratio of:
    [A] His income tax to income
    [B] Income to income tax
    (click for answer)

    [A] Ratio of income tax to income = 6000:30000 = 6000/30000 = 1/5 = 1:5.
    [B] Ratio of income to income tax = 30000:6000 = 30000:6000 = 5/1 = 5:1

  2. If Adam ran 2 km on Monday and ran just 500 m on Tuesday, then what is the ratio of distance run by Adam on Tuesday to Monday? (click for answer)

    Therefore, ratio of distance run by Adam on Tuesday to Monday
    = 500:2000
    = 500/2000
    = 1/4
    = 1:4

  3. Jake works in a software company and earns $1000 per month. From that, he saves $200 per month. What is the ratio of Jake’s savings to income? (click for answer)
  4. The first and the fourth terms of a proportion are 9 and the second term is 27. Find out the third term? (click for answer)

    Let the third term be ‘m’.

    Therefore,

    27 x m = 9 x 9 ( by cross product multiplication)
    27m = 9 x 9
    27m = 81
    m = 81/27
    m = 3

    Therefore, the 3rd term is 3

  5. Is the statement true?
    16:32 = 10:20 (click for answer)