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Ratio & Proportion
By Anand MeraSkill.com CA CPT Š MeraSkill
Ratio
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Index What is a ratio? Types of ratio Quiz Application Problem
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What is a ratio? Comparison of two or more quantities of the same kind by division Ex- Ratio of Boys to Girls 20:10
Ex- Ratio between 250gm and 2kg Ratio between 5 minutes and 30 secs
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Few points about ratio Expressed in simplest term Order of terms is important Ratio exist only between quantities of same kind and they should have the same units
Fractions to Ratio ½ :⅓ :⅕ © MeraSkill
Ratio Terms a = First term or Antecedent b Second term or Consequent
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The ratio of two quantities is 3 : 4. If the antecedent is 15, the consequent is (a) 16 (b) 60 (c) 22 (d) 20
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Types of ratio Inverse ratio Compound ratio Duplicate ratio Triplicate ratio Sub Duplicate ratio Sub Triplicate ratio Continued ratio Š MeraSkill
Types of Ratio Inverse Ratio Inverse ratio of a:b is b:a One ratio is the inverse of another if their product is 1 Compound Ratio Compound ratio of a:b and c:d is ac:bd
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Types of Ratio Duplicate ratio A ratio compounded to itself is duplicate ratio.Thus duplicate ratio of a:b is a2:b2 Triplicate ratio A ratio compounded to itself two time is triplicate ratio.Thus triplicate ratio of a:b is a3:b3
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Types of ratio Sub Duplicate ratio- Square root If a:b is duplicate ratio of c:d then c:d is sub-duplicate ratio of a:b Find sub-duplicate ratio of 4:9 1:25 16:4
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Types of ratio Sub Triplicate ratio- Cube root If a:b is triplicate ratio of c:d then c:d is sub-triplicate ratio of a:b Find sub triplicate ratio of 8:27 1:125 64:27
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Types of ratio Continued Ratio Ratio which are expressed in more than 2 quantities 1:3:5
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