Question

the cost of washing machine and a television are in the ratio of 4:9. ramaya spent ps 32500 for both items.Find the cost of washing machine and tv ?

Answer 1

Dear Student,


$$\begin{gathered} \mathrm{Let}\mathrm{x}\mathrm{be}\mathrm{the}\mathrm{cost}\mathrm{of}\mathrm{washing}\mathrm{machine}\mathrm{and}\mathrm{y}\mathrm{be}\mathrm{the}\mathrm{cost}\mathrm{of}\mathrm{television} \\ \mathrm{So},\frac{\mathrm{x}}{\mathrm{y}}=\frac{4}{9} \\ \mathrm{or},9\mathrm{x}=4\mathrm{y} \\ \mathrm{or},\mathrm{x}=\frac{4}{9}\mathrm{y}...\left(\mathrm{i}\right) \\ \mathrm{Also},\mathrm{x}+\mathrm{y}=32500 \\ \mathrm{Substituting}\mathrm{the}\mathrm{value}\mathrm{of}\mathrm{x}\mathrm{in}\mathrm{above}\mathrm{equation} \\ \frac{4}{9}\mathrm{y}+\mathrm{y}=32500 \\ \mathrm{or},\frac{4\mathrm{y}+9\mathrm{y}}{9}=32500 \\ \mathrm{or},13\mathrm{y}=32500\times 9 \\ \mathrm{or},\mathrm{y}=\frac{32500\times 9}{13}=15000 \\ \mathrm{So},\mathrm{x}=32500-\mathrm{y} \\ =32500-15000 \\ =17500 \\ \mathrm{Hence},\mathrm{Cost}\mathrm{of}\mathrm{washing}\mathrm{machine}=\mathrm{Rs}.17,500 \\ \mathrm{Cost}\mathrm{of}\mathrm{television}=\mathrm{Rs}.15,000 \end{gathered}$$