Question:
Tick (✓) the correct answer:
(180% of ?) ÷ 2 = 504
(a) 400
(b) 480
(c) 600
(d) 560
Solution:
(d) 560
Let the required number be $\mathrm{x}$. Then, we have :
$(180 \%$ of $x) \div 2=504$
$\Rightarrow\left(x \times \frac{180}{100}\right) \div 2=504$
$\Rightarrow\left(\frac{180 x}{100}\right) \div 2=504$
$\Rightarrow\left(\frac{180 x}{100} \times \frac{1}{2}\right)=504$
$\Rightarrow \frac{9 x}{10}=504$
$\Rightarrow x=\left(504 \times \frac{10}{9}\right)$
$\Rightarrow x=560$