Percentage change in workplace data: Practice 1 (Foundation)

10 original teaching questions with answers and explanations.

Instructions for this set

Use the original value as the base for relative change. Distinguish percentage points from percentages. All figures are hypothetical.

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Practise with feedback Optional timed challenge

  1. 1. A help desk resolves 640 cases in June and 736 in July. What is the percentage increase?
    1. 15%
    2. 16%
    3. 18%
    4. 12%

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    Answer: A. 15%

    The increase is 96. Divide by the original 640: 96/640 times 100 = 15%.
  2. 2. A processing time falls from 50 minutes to 38 minutes. What is the percentage reduction?
    1. 20%
    2. 24%
    3. 31.58%
    4. 12%

    Reference: q-3bfe421e-89 · Report this question

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    Answer: B. 24%

    The reduction is 12 minutes. Relative to the original 50 minutes, 12/50 = 24%.
  3. 3. After a 20% price reduction, a licence costs $144. What was its original price?
    1. $200
    2. $172.80
    3. $180
    4. $192

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    Answer: C. $180

    The new price is 80% of the original. Therefore original price = 144/0.80 = $180.
  4. 4. A monthly fee rises by 8% to $270. What was the fee before the rise?
    1. $252
    2. $262
    3. $248.40
    4. $250

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    Answer: D. $250

    The new fee is 1.08 times the original. Divide 270 by 1.08 to obtain $250.
  5. 5. A conversion rate rises from 16% to 20%. What is the increase in percentage points?
    1. 4
    2. 20
    3. 25
    4. 36

    Reference: q-f2ef1950-84 · Report this question

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    Answer: A. 4

    Subtract the rates directly: 20% minus 16% is four percentage points. The relative increase would be 25%.
  6. 6. An error rate falls from 8% to 6%. What is the relative percentage reduction?
    1. 20%
    2. 25%
    3. 33.33%
    4. 2%

    Reference: q-21c341bc-78 · Report this question

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    Answer: B. 25%

    The rate fell by two percentage points. Relative reduction = (8 minus 6)/8 = 25%.
  7. 7. Output rises by 20% and then by a further 10% from its new level. What is the total increase?
    1. 28%
    2. 30%
    3. 32%
    4. 35%

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    Answer: C. 32%

    Multiply the growth factors: 1.20 times 1.10 = 1.32. The total increase is 32%.
  8. 8. A budget of $5,000 is cut by 10% and then increased by 10%. What is the final budget?
    1. $5,000
    2. $5,050
    3. $4,900
    4. $4,950

    Reference: q-8e0fd130-86 · Report this question

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    Answer: D. $4,950

    5,000 times 0.90 times 1.10 = $4,950. Opposite percentage changes do not cancel.
  9. 9. A supplier raises a price from $75 to $90. What percentage reduction from $90 would restore the old price, rounded to two decimal places?
    1. 16.67%
    2. 20%
    3. 25%
    4. 15%

    Reference: q-12b83c69-138 · Report this question

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    Answer: A. 16.67%

    The needed reduction is $15 on the new $90 base. 15/90 times 100 is approximately 16.67%.
  10. 10. A team completes 420 of 560 assigned checks. What percentage remains unfinished?
    1. 20%
    2. 25%
    3. 30%
    4. 75%

    Reference: q-a81e8a2d-81 · Report this question

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    Answer: B. 25%

    Unfinished checks = 560 minus 420 = 140. Divide 140 by 560 to obtain 25%.

Review your method

Return to the percentage change in workplace data lesson and identify the reasoning step behind each mistake before repeating the set.

Choose your practice difficulty

Difficulty labels describe the steps needed in these teaching sets; they are not validated ability bands. Start with foundation practice and move on after you can explain your method.

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