download Mastguru Android App
  • Important results of Ratio


    i). Duplicate ratio of (a:b) is
    \begin{aligned}
    (a^2:b^2)
    \end{aligned}

    ii). Sub-duplicate ratio of (a : b) is
    \begin{aligned}
    (\sqrt{a}:\sqrt{b})
    \end{aligned}

    iii). Triplicate ratio of (a : b) is
    \begin{aligned}
    ({a}^3:{b}^3)
    \end{aligned}

    iv). Sub Triplicate ratio of (a : b) is
    \begin{aligned}
    ({a}^\frac{1}{3}:{b}^\frac{1}{3})
    \end{aligned}

    v).
    \begin{aligned} if& \frac{a}{b} = \frac{c}{d}, \\
    then \frac{a+b}{a-b} = \frac{c+d}{c-d}

    \end{aligned}