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Cheat Sheets / Aptitude
03.01 · Cheat sheet

Quantitative Aptitude

Every formula for percentages, profit and loss, interest, ratios, mixtures, time and work, speed, numbers, permutations, probability, clocks and calendars.

3 min Cheat sheet Pro

The formulas behind most quant questions in placement tests.

Percentages

  • x% of y = x × y / 100
  • Up a%, then up b%: net change = a + b + ab/100 (use −a for a fall).
  • Price up r%: cut use by r/(100 + r) × 100% to spend the same.
  • 1/8 = 12.5% · 1/6 = 16.67% · 1/3 = 33.33% · 3/8 = 37.5% · 5/8 = 62.5%

Profit and loss

  • Profit % = (SP − CP) / CP × 100
  • SP = CP × (100 + profit%) / 100
  • After a discount: SP = MP × (100 − d%) / 100
  • Two items sold at the same SP, one at +x% and one at −x%: always a loss of x²/100 %.
  • False weight: gain % = (true − false) / false × 100
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Inside: 9 sections.

  • Percentages
  • Profit and loss
  • Interest
  • Ratios, averages, mixtures
  • Time and work
  • Time, speed, distance
  • +3 more
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Item 9 of 12 · updated 2026-10-13