Numerical Reasoning Percentage Questions – Practice With Answers and Explanations

Numerical reasoning percentage questions are one of the most common question types in aptitude assessments. The calculations are not difficult, but these questions are designed to punish small mistakes. Under time pressure, candidates often use the wrong base value, round too early, or misread what the question is asking.

For full mock exams and timed practice across all numerical reasoning formats, start with the main hub:
Numerical Reasoning Practice Test.

Why Percentage Questions Appear in Almost Every Numerical Test

Employers rely on percentage questions because they reflect real workplace tasks. Percentages appear in performance reports, sales growth, cost reduction, discount calculations, budget changes, and profitability analysis. These questions test whether you can interpret information quickly and make accurate decisions when the numbers are presented in a business context.

In most tests, answer options are deliberately close. A small calculation error produces a believable wrong answer, which is why you need a consistent method that reduces avoidable mistakes.

The Core Formula You Must Use Correctly

Percentage increase equals the difference divided by the original value multiplied by one hundred. Percentage decrease follows the same logic. The important part is the base value. You divide by the original number, not the new number.

Another important rule is rounding control. If a question requires multiple steps, delay rounding until the final step unless the question clearly demands estimation. Early rounding can push you into the wrong answer option.

Numerical Reasoning Percentage Questions With Answers

The questions below mirror common employer test formats. Each includes an answer and a short explanation so you learn the method and can apply it to new questions.

Question 1

Sales increased from 240000 to 276000. What is the percentage increase.

Increase equals 36000. Divide 36000 by 240000. Percentage increase equals 15 percent.

Question 2

Costs decreased from 50000 to 42500. What is the percentage decrease.

Decrease equals 7500. Divide 7500 by 50000. Percentage decrease equals 15 percent.

Question 3

A product costs 60 and sells for 75. What is the profit margin percentage.

Profit equals 15. Divide 15 by 75. Profit margin equals 20 percent.

Question 4

Revenue increased by 8 percent from 900000. What is the new revenue.

Eight percent of 900000 equals 72000. Add 72000 to 900000. New revenue equals 972000.

Question 5

A budget was reduced by 12 percent from 150000. What is the new budget.

Twelve percent of 150000 equals 18000. Subtract 18000 from 150000. New budget equals 132000.

How to Get Faster at Percentage Questions

Speed comes from structured thinking. Read the question first, decide the operation you need, then find only the numbers required. This prevents you from scanning tables and calculating unnecessary values.

When answer options are far apart, estimation can be enough. When options are close, calculate precisely and avoid early rounding. This balance is what strong test takers do consistently.

If you practise these methods under timed conditions, your accuracy improves and your pace becomes more stable. That is what percentage questions are really testing.

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For full-length timed practice that includes percentage questions alongside other core formats, return to the main hub:
Numerical Reasoning Practice Test.

Frequently Asked Questions

Are percentage questions always included in numerical reasoning tests

Yes. Percentage change, profit margin, and discount calculations are among the most frequent numerical reasoning formats used by employers.

What is the biggest trap in percentage change questions

Using the wrong base value is the biggest trap. Percentage change should be calculated using the original value as the base.

How can I improve quickly for percentage questions

Practise timed questions regularly and review mistakes immediately. Focus on base values and avoid rounding until the final step in multi-step calculations.

For general background, see
Numerical Reasoning.

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