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A price rises from €80 to €100. What's the percentage increase?

Numerical reasoning

Numerical reasoning questions present a short scenario with one or two given numbers — a price, a headcount, a growth figure — and ask you to derive a value: a percentage change, a ratio split, an average, a discounted price. Unlike matrix puzzles, there's no hidden visual rule to spot; the challenge is picking the right calculation and executing it accurately under time pressure.

Most numerical items fall into a handful of recurring calculation types: percentage-of-a-total, percentage change (increase or decrease), ratio splits, averages (sometimes with an outlier to exclude), and discount-then-tax style multi-step problems. Recognising which type you're looking at within the first few seconds is most of the battle — once you know it's a 'percentage change' question, the formula is fixed, you just need to plug in the right numbers.

The most common trap is misreading which number is the 'base' — calculating a percentage against the wrong original value, or forgetting a value has already changed once before the second step applies. Reading the scenario twice before calculating anything is worth the extra few seconds it costs.

How to spot it

  • Identify the calculation type first (percentage change, ratio, average, discount) before touching any numbers.
  • Double-check which number is the 'base' for a percentage — the original value, not the new one.
  • For multi-step problems, note the result of each step before moving to the next.
  • If a question mentions excluding an outlier or a specific item, re-read it once you have an answer to confirm you applied that condition.