Question

$40$% of $60$% of $\frac{3}{5}$th of a number is $504$. What is $25$% of $\frac{2}{5}$th of that number?

• A. $180$
• B. $175$
• C. $360$
• D. $350$

Answer 1

The correct option is D $350$

$\Rightarrow$ Let ${}^{\prime }{x}^{\prime }$ be the number.

$\Rightarrow$ Then, $\frac{40}{100}\times \frac{60}{100}\times \frac{3}{5}\times x=504$

$\Rightarrow$ $144x=504\times 1000$

$\Rightarrow$ $x=\frac{504\times 100}{144}=3500$

$\Rightarrow$ $x=\frac{25}{100}\times \frac{2}{5}\times 3500$

$\Rightarrow$ $x=350$