Respuesta :

let's say the amount is "x", hmmm how much is 27.4% of "x"?   well

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{27.4\% of x}}{\left( \cfrac{27.4}{100} \right)x}\implies 0.274x[/tex]

so then, we know that x - 0.274x = 1000

[tex]\bf x - \stackrel{\textit{27.4\% of "x"}}{0.274x}=1000\implies 0.726x=1000\\\\\\ x = \cfrac{1000}{0.726}\implies x\approx 1377.41[/tex]

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