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Assertion and reason: comparisons

Exercise and reference answers

Questions
  1. Reason
    Putting both over 100 gives them a common base.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    Percentages make two comparisons easy to rank.
  2. Reason
    Both express one quantity in terms of another.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    A ratio can always be written as a fraction.
  3. Reason
    A discount reduces the marked price.
    Verdict
    Both are true; the reason does not explain the assertion.
    Assertion
    Per cent means out of a hundred.

Explanation

The last round pairs true halves that do not explain one another. Source: syllabus Maths, Ch 7 Comparing Quantities.
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