Question

If $35\%$ of a number is $175$, then what percent of $175$ is that number ?

• A. $35\%$
• B. $65\%$
• C. $285.71\%$
• D. $420\%$

Answer 1

Answer: (C)

$285.71\%$

Let the required number be $x$

It is given that $35$% of that number is $175$

=> $\frac{35\times x}{100}=175$

=> $x=\frac{175\times 100}{35}$

=> $x=500$

Now, the question requires the percentage that $500$ is of that number

Let that percentage be $y\%$.

Now, $\frac{y\times 175}{100}=500$

=>$y=\frac{500\times 100}{175}$

=>$y=285.714$

Hence the answer is $285.71\%$