Question

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

Answer 1

Let the number be $m$

Increase in its value $=50\%$ of $m$

$=\frac{50}{100}$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 $50\%$.