Question

If the sum of two numbers is $\frac{39}{25}$ times the first number, then the first number is what percent of the second number?

• A. 56%
• B. 156%
• C. 78.57%
• D. 178.57%

Answer 1

The correct option is D 178.57%

Let the first number be $=N$
Then, the sum of the two numbers $=\frac{39}{25}N$
$\Rightarrow$ Second number $=\frac{39}{25}N-N=\frac{14}{25}N$
First number: Second number $=N:\frac{14}{25}N$
$=25:14$
Then, the first number as $a\%$ of the second
$=\frac{25}{14}\times 100=178.57\%$