Question

If $6.12\%$ of $\frac{7}{13}$ is $43$ percent of $x$, what is the value of $x$?

• A. 0.077
• B. 0.77
• C. 7.66
• D. 8.13
• E. 11.49

Answer 1

The correct option is C 7.66

Given, $6.12$ of $\frac{7}{13}$ is $\frac{6.12}{100}\times \frac{7}{13}$
$\Rightarrow 0.43$ percent of $x$ is $\frac{0.43}{100}\times x$
Now by equating those two, we get

$\frac{6.12}{100}\times \frac{7}{13}=\frac{0.43}{100}\times x$
$\Rightarrow x=\frac{6.12}{0.43}\times \frac{7}{13}=7.66$