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Averages, mixtures & alligation formulas

5 formulas for Averages, mixtures & alligation, from the Arithmetic & Quantitative Aptitude section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.

NameFormulaNote
AverageSum of observations / Number of observations
Average of first n natural numbers(n + 1) / 2
Weighted average(n₁a₁ + n₂a₂) / (n₁ + n₂)
Alligation ruleCheaper : Dearer = (d − m) : (m − c)c cheaper price, d dearer price, m mean price
Repeated replacementFinal pure = Initial × (1 − x/V)ⁿx removed and replaced n times from volume V

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Related: Arithmetic & Quantitative Aptitude