Question

$25\%$ of a number is $18\%$ less then $650$ by $19$ then the number is.

Answer 1

$25\%$ of a number is less than $18\%$ of $650$ by $19$. then the number is?

Sol: Let the number be $x.$

According to the equation

$25\%$ of $x=18\%$ of $650-19$

$\left(\frac{25}{100}\right)\cdot x=\left(\frac{18}{100}\right)\times 650-19$

$\frac{1}{4}x=9\times 13-19$

$\Rightarrow \frac{x}{4}=117-19$

$\Rightarrow \frac{x}{4}=98$

$\Rightarrow x=98\times 4$

$\Rightarrow x=392$

Hence, the number is $392$.