Question

By what number must the given number be multiplied to increase the number by $50\%$.

• A. $\frac{3}{4}$
• B. $\frac{3}{8}$
• C. $\frac{1}{2}$
• D. $\frac{3}{2}$

Answer 1

The correct option is D $\frac{3}{2}$

Let the number be $m$
Increase in its value $=50\%$ of m
$\Rightarrow \frac{50}{100}\times m=\frac{m}{2}$
Therefore, increase value $=m+\frac{m}{2}=\frac{2m+m}{2}=\frac{3m}{2}$
Therefore, the given number must be multiplied by $\frac{3}{2}$ to increase the number by $50\%$.