Question

What number when decreased by 8% becomes 345

Answer 1

Dear Student,

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{number}\mathrm{be}\mathrm{x} \\ \mathrm{Then},8\%\mathrm{of}\mathrm{x}=\frac{8}{100}\times \mathrm{x}=\frac{2\mathrm{x}}{25} \\ \mathrm{According}\mathrm{to}\mathrm{question},\mathrm{x}-\frac{2\mathrm{x}}{25}=345 \\ \frac{25\mathrm{x}-2\mathrm{x}}{25}=345 \\ 25\mathrm{x}-2\mathrm{x}=345\times 25 \\ 25\mathrm{x}-2\mathrm{x}=8625 \\ 23\mathrm{x}=8625 \\ \mathrm{x}=\frac{8625}{23} \\ \mathrm{x}=375 \\ \mathrm{Hence},\mathrm{the}\mathrm{number}\mathrm{is}375 \end{gathered}$$

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