RATIO & PROPORTION :- Points to remember

RATIO AND

PROPORTION.

Introduction and Main points.

  • Ratio :- ratio is a comparison of two or more quantities of the same kind by division.    Ex:-  the ratio between two weights 35kgs and 65 kgs.
  • The term a:b first term a is called antecedent in the second term b is called consequent.
  • Ratio exists only between quantities of the same kind.
  • Quantities to be compared must be in the same units.
  • The order of terms in the ratio is important.
  • A  ratio as no units.
  • Usually a ratio is expressed in lowest terms.
  • Duplicate ratio of a:b is a² : b².
  • Sub-duplicate ratio of a:b is √a: √b.
  • Triplicate ratio of a:b is a³:b³  .
  • Sub-triplicate ratio of a:b is ³√a : ³√ b  .
  • one ratio is inverse of another is their product is 1.
  • compound ratio of a:b , c:d and e:f   is a×c×e : b×d×f . i.e, the product of the antecedent : product of the consequent.
  • Compounded ratio is the ratio between three are more quantities of same kind is called their continued ratio.  For,suppose the continued ratio of a,b,c can be written as a:b:c.

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