ABC26GN2228 · Percentage
Subject: General Aptitude · Chapter: Percentage · Exam: · Marks: · Difficulty:
If 35\% of a number is 175, then what percent of 175 is that number?
(a)35\%
(b)65\%
(c)280\%
(d)None of these
Answer
Explanation
Let the number be $x$. Then, $35 \%$ of $x=175$ $$\Leftrightarrow \quad\left(\frac{35}{100} \times x\right)=175 \Leftrightarrow x=\left(\frac{175 \times 100}{35}\right)=500 \text {. }$$ Now, let $y \%$ of $175=500$. Then, $\left(\frac{y}{100} \times 175\right)=500 \Leftrightarrow y=\left(\frac{500 \times 100}{175}\right)=\frac{2000}{7}=285 \frac{5}{7}$.
Explanation as extracted from the printed page; notation may be imperfect.
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