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Percentages and Ratios Flashcards

6 cards from real Civil Service Numerical Reasoning Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Percentages and Ratios flashcards as text
  1. A product costs £45 excluding VAT at 20%. What is the price including VAT?

    Answer: £54

    VAT = 20% of £45 = £9. Price including VAT = £45 + £9 = £54.

  2. A team of 60 is split between senior and junior staff in a 2:3 ratio. How many senior staff are there?

    Answer: 24

    Total parts = 5. Senior = (2/5) × 60 = 24.

  3. A project was completed with a spend of £84,000 against a budget of £105,000. What percentage of the budget was used?

    Answer: 80%

    (84,000 ÷ 105,000) × 100 = 80%.

  4. Profits fell from £200,000 to £170,000. What was the percentage decrease?

    Answer: 15%

    Decrease = £30,000. (30,000 ÷ 200,000) × 100 = 15%.

  5. A ratio of blue to red pens is 7:3. There are 70 pens in total. How many are red?

    Answer: 21

    Total parts = 10. Red = (3/10) × 70 = 21.

  6. An item originally costs £200. It is discounted by 12.5%. What is the sale price?

    Answer: £175

    12.5% of £200 = £25. Sale price = £200 − £25 = £175.