Hint: Try to calculate the increment and use basic arithmetic.
Percent means parts by 100. It is the ratio in which the denominator is $100$. So $x\% $ is given by $\dfrac{x}{{100}}$. In the above problem we need to increase the number by $12.5\% $. Increment of numbers means increasing its value or adding another positive real number to its value. Hence, we need to find the number or the value by which $44$ is to be increased. Since in the problem, the increment percentage is given, first we need to find the given percent of $44$. Using the above-mentioned rule, $12.5\% = \dfrac{{12.5}}{{100}}$. Therefore, $12.5\% $of $44$is given by $\dfrac{{12.5}}{{100}} \times 44 = \dfrac{{550}}{{100}} = 5.5$ Increasing $44$by $5.5 \Rightarrow 44 + 5.5 = 49.5$ Hence Value of $44$ is increased by $12.5\% $ is equal to $49.5$. Or The above-mentioned procedure could be formed into a formula as Value$ = Original\,Number\left( {1 + \dfrac{x}{{100}}} \right)$ ,where $x$ is the percent to be increased. In this problem, $Original{\text{ }}Number = 44$ and $x = 12.5$ Using in the above-mentioned formula, we get, Value$ = 44\left( {1 + \dfrac{{12.5}}{{100}}} \right) = 44\left( {1 + \dfrac{1}{8}} \right) = 44 \times \dfrac{9}{8} = 49.5$. Hence the answer is $49.5$.
Note: Percent always means out of hundred. Increment or decrement can be done using the same method as explained above with slight modification for decrement.
×
Sorry!, This page is not available for now to bookmark.