Question

If $15\%$ of $40$ is greater than $25\%$ of a number by $2$, the number is

• A. $14$
• B. $16$
• C. $18$
• D. $20$

Answer 1

The correct option is B $16$

$\Rightarrow$ Let the number be $x$. Then, according to question

$\Rightarrow$ $\frac{15}{100}\times 40-\frac{25}{100}\times x=2$

$\Rightarrow$ $\frac{3}{20}\times 40-\frac{1}{4}\times x=2$

$\Rightarrow$ $6-\frac{x}{4}=2$

$\Rightarrow$ $\frac{24-x}{4}=2$

$\Rightarrow$ $24-x=8$

$\Rightarrow$ $x=16$