These comprehensive RBSE Class 8 Maths Notes Chapter 13 Direct and Inverse Proportions will give a brief overview of all the concepts.

→ Two quantities x and y are said to be in direct proportion if they increase (decrease) together in such a manner that the ratio of their corresponding values remains constant. That is if \(\frac{x}{y}\) = k [k is s positive number], then x and y are said to vary directly. In such a case if y_{1}, y_{2} are the values of y corresponding to the values x_{1} x_{2} of x recpectively then

\(\frac{x_{1}}{y_{1}}=\frac{x_{2}}{y_{2}}\) and \(\frac{x_{1}}{y_{1}}=\frac{x_{2}}{y_{2}}=\frac{x_{3}}{y_{3}}\) = .............. k

→ Two quantities x and y are said to be in inverse proportion if an increase in x causes a proportional decrease in y (and vice-versa) in such a manner that the product of their corresponding values remains constant. That is, if xy = k, then x and y are said to vary inversely. In this case y_{1}, y_{2} are the values of y corresponding to the values x_{1} x_{2} of x respectively then x_{1}y_{1} = x_{2}y_{2} or \(\frac{x_{1}}{x_{2}}=\frac{y_{2}}{y_{1}}\) and x_{1}y_{1} = x_{2}y_{2} = x_{3}y_{3} = k.

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