what is shortcut for solving ratio and proportion

Solving ratio and proportion problems using shortcuts

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first of all u have to read the concept of Ratio and proportion and keep them fixed in ur mind...........br /strongwhat is Ratio ?/strong The number of times one quantity contains another quantity of the same kind is called the strongratio/strongof the two quantities..br /strongnow its type-br /Consequent >/strongIn the strongratio 2 :3/strong , 2 is the antecedent and 3 is the consequent.br /strongCompound Ratio > /strongRatios are strongcompound/strong by multiplying together the antecedents for a new antecedent, and the consequents for a new consequent.br /strongInverse Ratio > /strongIf 2:3 be the given ratio, then 1/2: 1/3 or 3 :2 is called its stronginverse/strong orstrong reciprocal ratio.br /Now what is Proportion ? br /Consider the two ratios:/strongbr /strong /strong1st ratio 2nd ratiobr /6 : 18 8 : 24br /Since 6 is one-third of 18, and 8 is one –third of 24, the two ratios are equal. The equality of ratio is called strongproportion./strongbr /The number 6, 18, 8 and 24 are said to be in strongproportion./strongbr /
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