Civil Service Numerical Reasoning Test Percentages and Ratios 3

Question 1

A product costs £45 excluding VAT at 20%. What is the price including VAT?

Accepted Answer

£54

Answer

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?

Accepted Answer

24

Answer

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?

Accepted Answer

80%

Answer

(84,000 ÷ 105,000) × 100 = 80%.

Question 4

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

Accepted Answer

15%

Answer

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?

Accepted Answer

21

Answer

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

Civil Service Numerical Reasoning Practice Test