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Numerical Reasoning Test Practice Course: Percentages, percentage change and ratios

Quiz tematico senza limite di tempo: 18 domande su Percentages, percentage change and ratios, con una spiegazione dopo ogni risposta. Domande e risposte vengono mescolate ogni volta.

  • Corso
  • Canada
  • 87 domande
  • Verificato: 13 ottobre 2026
  • Verificato il 13 ottobre 2026
Inizia dalle lezioniNumerical Reasoning Course: Lessons: circa 180 minuti di lettura. Ogni domanda del test è trattata nelle lezioni.

Quiz tematico 2: Percentages, percentage change and ratios

  1. Domanda 1 di 18

    What is 15% of $240?
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    Risposta: C. $36

    15% = 0.15. 0.15 × 240 = $36.

  2. Domanda 2 di 18

    Of 60 staff, 45 have finished their training. What percentage have finished?
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    Risposta: A. 75%

    Part ÷ whole × 100: 45 ÷ 60 × 100 = 75%.

  3. Domanda 3 di 18

    A product costs $80. The price goes up by 10%. What is the new price?
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    Risposta: A. $88

    10% of $80 is $8. New price = 80 + 8 = $88. You can also multiply by 1.10.

  4. Domanda 4 di 18

    Weekly orders went from 400 to 460. What is the percentage increase?
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    Risposta: D. 15%

    Change ÷ starting value × 100: (460 − 400) ÷ 400 × 100 = 15%. Always divide by the starting (base) value.

  5. Domanda 5 di 18

    Overtime fell from 120 hours to 90 hours. What is the percentage decrease?
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    Risposta: A. 25%

    Decrease ÷ starting value × 100: 30 ÷ 120 × 100 = 25%. 33.3% comes from dividing by the new value.

  6. Domanda 6 di 18

    A team has 12 supervisors and 48 other staff. What is the ratio of supervisors to other staff in its simplest form?
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    Risposta: C. 1:4

    12:48. Divide both parts by 12 to get 1:4. Keep the order the question uses: supervisors first.

  7. Domanda 7 di 18

    Part-time and full-time staff are in the ratio 3:5. There are 40 staff in total. How many are part-time?
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    Risposta: D. 15

    3 + 5 = 8 parts. Each part = 40 ÷ 8 = 5 staff. Part-time = 3 × 5 = 15.

  8. Domanda 8 di 18

    A $9,000 budget is shared between Team A and Team B in the ratio 2:1. How much does Team A get?
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    Risposta: C. $6,000

    2 + 1 = 3 parts. One part = 9,000 ÷ 3 = $3,000. Team A gets 2 parts = $6,000.

  9. Domanda 9 di 18

    The share of customers who were satisfied rose from 60% to 66%. By how many percentage points did it rise?
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    Risposta: A. 6 percentage points

    A change in percentage points is a simple subtraction: 66 − 60 = 6 percentage points.

  10. Domanda 10 di 18

    The share of customers who were satisfied rose from 60% to 66%. What is the percentage increase in the satisfaction rate?
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    Risposta: B. 10%

    Percentage change = change ÷ starting value × 100 = 6 ÷ 60 × 100 = 10%. This is different from the 6-percentage-point rise.

  11. Domanda 11 di 18

    After a 25% discount, a jacket costs $60. What was the price before the discount?
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    Risposta: A. $80

    After a 25% discount you pay 75% of the price. Original = 60 ÷ 0.75 = $80. Adding 25% to $60 gives $75, which is wrong because 25% was taken from the original price.

  12. Domanda 12 di 18

    A bill is $189.00 including 5% tax. What was the amount before tax?
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    Risposta: A. $180.00

    The bill is 105% of the pre-tax amount. Pre-tax = 189 ÷ 1.05 = $180.00. Taking 5% off $189 gives $179.55, which is wrong.

  13. Domanda 13 di 18

    Sales were $5,000 in February. They rose 10% in March, then fell 10% in April. What were April sales?
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    Risposta: B. $4,950

    March = 5,000 × 1.10 = $5,500. April = 5,500 × 0.90 = $4,950. The 10% fall is taken from the bigger March figure, so you do not get back to $5,000.

  14. Domanda 14 di 18

    The table shows new customers by region last month. What percentage of all new customers came from the South region?
    RegionNew customers
    North120
    South180
    East150
    West50
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    Risposta: B. 36%

    Total = 500. South share = 180 ÷ 500 × 100 = 36%.

  15. Domanda 15 di 18

    A cleaning product is mixed 1 part concentrate to 24 parts water. How much concentrate is in 5 litres of mixed solution?
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    Risposta: C. 200 mL

    1 + 24 = 25 parts in total. 5 L = 5,000 mL. One part = 5,000 ÷ 25 = 200 mL of concentrate. Dividing by 24 forgets the concentrate itself is a part.

  16. Domanda 16 di 18

    Which store had the largest percentage increase in sales from last year to this year?
    StoreSales last yearSales this year
    Store 1$52,000$57,200
    Store 2$80,000$86,400
    Store 3$35,000$38,850
    Store 4$64,000$69,760
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    Risposta: A. Store 3

    Percentage increases: Store 1 10.0%, Store 2 8.0%, Store 3 11.0%, Store 4 9.0%. Store 3 grew fastest, even though Store 2 had the biggest dollar increase.

  17. Domanda 17 di 18

    40% of staff are part-time. Of the part-time staff, 25% work weekends. What percentage of ALL staff are part-time weekend workers?
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    Risposta: B. 10%

    Take a percentage of a percentage by multiplying: 0.40 × 0.25 = 0.10, which is 10% of all staff.

  18. Domanda 18 di 18

    Shop A grew from $200,000 to $220,000 (10%). Shop B grew from $800,000 to $840,000 (5%). What was the percentage growth of the two shops combined?
    Mostra la risposta

    Risposta: B. 6.0%

    Combine the totals: from $1,000,000 to $1,060,000, a rise of $60,000. 60,000 ÷ 1,000,000 × 100 = 6.0%. A simple average of 10% and 5% ignores that Shop B is much bigger.

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