Question

Find the number when decreased by $40\%$ become $140$?

Answer 1

STEP 1: Calculate $40\%$of the number

Let the number be $\mathrm{x}$

$40\%$ of $\mathrm{x}$$=$$\frac{40}{100}\times \mathrm{x}$

$$\begin{gathered} =\frac{40\mathrm{x}}{100} \\ =\frac{2\mathrm{x}}{5} \end{gathered}$$

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

$$\begin{gathered} \Rightarrow \mathrm{x}-\frac{2\mathrm{x}}{5}=140 \\ \Rightarrow \frac{5\mathrm{x}-2\mathrm{x}}{5}=140 \\ \Rightarrow \frac{3\mathrm{x}}{5}=140 \\ \Rightarrow \mathrm{x}=\frac{140\times 5}{3} \\ \Rightarrow \mathrm{x}=233.33 \end{gathered}$$

Hence, the required number is $233.33$