Civil Service Numerical Reasoning Test Percentages and Ratios 3 — Questions and Answers
Question 1: A product costs £45 excluding VAT at 20%. What is the price including VAT?
- £54 (Correct answer)
- £50
- £56
- £52
Correct answer: £54
VAT = 20% of £45 = £9. Price including VAT = £45 + £9 = £54.
Question 2: A team of 60 is split between senior and junior staff in a 2:3 ratio. How many senior staff are there?
- 24 (Correct answer)
- 20
- 30
- 18
Correct answer: 24
Total parts = 5. Senior = (2/5) × 60 = 24.
Question 3: A project was completed with a spend of £84,000 against a budget of £105,000. What percentage of the budget was used?
- 80% (Correct answer)
- 75%
- 85%
- 70%
Correct answer: 80%
(84,000 ÷ 105,000) × 100 = 80%.
Question 4: Profits fell from £200,000 to £170,000. What was the percentage decrease?
- 15% (Correct answer)
- 10%
- 20%
- 12%
Correct answer: 15%
Decrease = £30,000. (30,000 ÷ 200,000) × 100 = 15%.
Question 5: A ratio of blue to red pens is 7:3. There are 70 pens in total. How many are red?
- 21 (Correct answer)
- 28
- 30
- 14
Correct answer: 21
Total parts = 10. Red = (3/10) × 70 = 21.
Question 6: An item originally costs £200. It is discounted by 12.5%. What is the sale price?
- £175 (Correct answer)
- £180
- £170
- £185
Correct answer: £175
12.5% of £200 = £25. Sale price = £200 − £25 = £175.
Civil Service Numerical Reasoning Test Percentages and Ratios 3
A product costs £45 excluding VAT at 20%.
What is the price including VAT?