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    Subject

    Quantitative Aptitude

    Topic

    Algebra

    if a3=b4=c7\frac{a}{3} = \frac{b}{4} = \frac{c}{7}  then what would be the value of  a+b+ca\frac{{a + b + c}}{a} ?

    ক)
    \(4\frac{2}{3}\)
    খ)
    \(2\frac{3}{4}\)
    গ)
    \(1\frac{1}{3}\)
    ঘ)
    \(\frac{{13}}{{17}}\)
    ঙ)
    None of these

    Explanation

    Lets a3=b4=c7=p\frac{a}{3} = \frac{b}{4} = \frac{c}{7} = p ⇒a=3p,b=4p,c=7p\Rightarrow a = 3p,b = 4p,c = 7p Hence a+b+ca=3p+4p+7p3p=14p3p\frac{{a + b + c}}{a} = \frac{{3p + 4p + 7p}}{{3p}} = \frac{{14p}}{{3p}} ⇒a+b+ca=143=423\Rightarrow \frac{{a + b + c}}{a} = \frac{{14}}{3} = 4\frac{2}{3}

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