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Comparing Quantities Test - 2

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Comparing Quantities Test - 2
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  • Question 1
    1 / -0

    The ratio of two numbers is 4 : 5. If the first number is increased by 25 and the second is decreased by 5, then the terms of the ratio become the same. Find the two original numbers.

    Solution

    Let the original numbers be 4x and 5x.
    Terms of the ratio become the same, therefore the numbers become equal.
    4x + 25 = 5x - 5
    5x - 4x = 25 + 5
    x = 30

    So, the numbers are:
    4x = 4 × 30 = 120
    5x = 5 × 30 = 150

     

  • Question 2
    1 / -0

    In an exam, the passing score is 40%. A student scores 30% and fails by 30 marks. Find the total marks of the exam.

    Solution

    Passing score is 40%, and the student scores 30% and fails by 30 marks.
    So, 40% - 30% = 10%
    10% of total marks = 30
    100% of total marks = 30 × 10 = 300 marks

     

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