Prelims · 8 Mental Ability · 8.4 Ratio, ages, averages and mixtures

8.4.8 Repeated replacement in mixtures

Each time x litres are drawn from a full vessel of V litres and replaced with water, the original liquid is multiplied by (1 − x/V); after n times it is V(1 − x/V)ⁿ, like compound depreciation.

  • APPSC Group 2 · Prelims
  • Standard level
  • 7 min read
  • Full course

Key terms

  • repeated replacement
  • dilution
  • draw and replace
  • (1 − x/V)^n
  • milk and water
  • alcohol
  • find the capacity
  • number of operations

What this note covers

  1. Core factsFoundation
  2. ExplainedStandard
  3. DeeperAdvanced
  4. Common trapsFoundation
  5. Quick revisionFoundation

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