Question

If 75% of a number is added to 75, then the result is the number itself. Find the number.

Answer 1

Dear Student,

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{number}\mathrm{be}\mathrm{x}. \\ \mathrm{A}.\mathrm{T}.\mathrm{Q} \\ 75\%\mathrm{of}\mathrm{x}+75=\mathrm{x} \\ \frac{75}{100}\times \mathrm{x}+75=\mathrm{x} \\ 0.75\mathrm{x}+75=\mathrm{x} \\ 75=\mathrm{x}-0.75\mathrm{x} \\ 75=0.25\mathrm{x} \\ \mathrm{x}=\frac{75}{0.25}=\frac{75}{25}\times 100 \\ =300\mathrm{ANS}... \end{gathered}$$

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