Question

Find the number when decreased by $52.5\%$becomes $125.3$?

Answer 1

STEP 1: Calculate the $52.5\%$ of the number.

Let the number be $\mathrm{x}$.

$52.5\%\mathrm{of}\mathrm{x}$$=$$\frac{52.5}{100}\times \mathrm{x}$

$=\frac{21}{40}\times \mathrm{x}$

$=\frac{21\mathrm{x}}{40}$

STEP 2: Find the value of $\mathrm{x}$

According to the question,

$$\begin{gathered} \Rightarrow \mathrm{x}-\frac{21\mathrm{x}}{40}=125.3 \\ \Rightarrow \frac{40\mathrm{x}-21\mathrm{x}}{40}=125.3 \\ \Rightarrow \frac{19\mathrm{x}}{40}=125.3 \\ \Rightarrow \mathrm{x}=\frac{125.3\times 40}{19} \\ \Rightarrow \mathrm{x}=263.78 \end{gathered}$$

Hence, the required number is $263.78$.