Question

If 75% is added to the number,the result is that number again.Find the number.

Answer 1

Dear student
$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{number}\mathrm{be}\mathrm{x}.\mathrm{Then} \\ 75\%\mathrm{of}\mathrm{x}+75=\mathrm{x} \\ \Rightarrow \frac{75\mathrm{x}}{100}+75=\mathrm{x} \\ \Rightarrow \mathrm{x}-\frac{75\mathrm{x}}{100}=75 \\ \Rightarrow \frac{100\mathrm{x}-75\mathrm{x}}{100}=75 \\ \Rightarrow 25\mathrm{x}=7500 \\ \Rightarrow \boxed{\mathrm{x}=300} \\ \mathrm{So},\mathrm{the}\mathrm{required}\mathrm{number}\mathrm{is}300. \end{gathered}$$
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