Question

Chandani purchased some parrots​.20% flew away and 5%died.of the remaining 45% were sold.Now 33 parrots remain.How many parrots had Chandani purchased?

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{parrots}\mathrm{purchased}=\mathrm{x} \\ \mathrm{Number}\mathrm{of}\mathrm{parrots}\mathrm{flew}\mathrm{away}=20\%\mathrm{of}\mathrm{x}=\frac{20}{100}\times \mathrm{x}=\frac{\mathrm{x}}{5} \\ \mathrm{Number}\mathrm{of}\mathrm{parrotsdied}=5\%\mathrm{of}\mathrm{x}=\frac{5}{100}\times \mathrm{x}=\frac{\mathrm{x}}{20} \\ \mathrm{Number}\mathrm{of}\mathrm{parrots}\mathrm{left}=\mathrm{x}-\left(\frac{\mathrm{x}}{5}+\frac{\mathrm{x}}{20}\right) \\ =\mathrm{x}-\left[\frac{4\mathrm{x}+\mathrm{x}}{20}\right] \\ =\mathrm{x}-\frac{5\mathrm{x}}{20} \\ =\mathrm{x}-\frac{\mathrm{x}}{4} \\ =\frac{3\mathrm{x}}{4} \\ \mathrm{Number}\mathrm{of}\mathrm{parrots}\mathrm{sold}=45\%\mathrm{of}\frac{3\mathrm{x}}{4}=\frac{45}{100}\times \frac{3\mathrm{x}}{4}=\frac{27\mathrm{x}}{80} \\ \mathrm{Number}\mathrm{of}\mathrm{parrots}\mathrm{left}\mathrm{now}=33 \\ \Rightarrow \frac{3\mathrm{x}}{4}-\frac{27\mathrm{x}}{80}=33 \\ \Rightarrow \frac{60\mathrm{x}-27\mathrm{x}}{80}=33 \\ \Rightarrow \frac{33\mathrm{x}}{80}=33 \\ \Rightarrow \mathrm{x}=80 \\ \mathrm{So},\mathrm{number}\mathrm{of}\mathrm{parrots}\mathrm{purchased}=80 \end{gathered}$$