Question

$12\frac{1}{2}$% of .......... = 35% of 700

• A. $490$
• B. $500$
• C. $1960$
• D. $1800$

Answer 1

The correct option is C $1960$

Let the blank space be $x$ and we solve the given equality $12\frac{1}{2}$% of $x=35$% of $700$ as follows:

$\frac{12\frac{1}{2}}{100}\times x=\frac{35}{100}\times 700$

$\Rightarrow \frac{\frac{25}{2}}{100}\times x=35\times 7$

$\Rightarrow \frac{25}{200}\times x=245$

$\Rightarrow \frac{x}{8}=245$

$\Rightarrow x=245\times 8$

$\Rightarrow x=1960$

Hence, $12\frac{1}{2}$% of $1960=35$% of $700$.