When \(14\frac{2}{7}\%\) of a number is added to the number, the result is 8000. Find the number.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 7000
\(14\frac{2}{7}\%\) is the fraction \(\frac{1}{7}\), so the number plus \(\frac{1}{7}\) of it is \(\frac{8}{7}\) of the number.
\(\displaystyle 14\frac{2}{7}\%=\frac{100}{7}\times\frac{1}{100}=\frac{1}{7}\)
\(\displaystyle x+\frac{x}{7}=\frac{8x}{7}=8000\)
\(\displaystyle x=\frac{8000\times7}{8}=7000\)
The number is 7000.