Question

if the cost of 5 tables exceeds the cost of eight chairs by rs. 150. write linear equation in two variables to represent this statement. also find cost of one table if cost of 1 chair= rs 240

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{cost}\mathrm{of}1\mathrm{table}=\mathrm{Rs}x \\ \mathrm{Let}\mathrm{the}\mathrm{cost}\mathrm{of}1\mathrm{chair}=\mathrm{Rs}y \\ \mathrm{cost}\mathrm{of}5\mathrm{tables}=\mathrm{Rs}5x \\ \mathrm{cost}\mathrm{of}8\mathrm{chairs}=\mathrm{Rs}8y \\ \mathrm{According}\mathrm{to}\mathrm{question}, \\ 5x-8y=150.....\left(1\right) \\ \mathrm{Put}y=240,\mathrm{we}\mathrm{get} \\ 5x-8\times 240=150 \\ \Rightarrow 5x=150+1920=2070 \\ \Rightarrow x=414 \\ \mathrm{So},\mathrm{cost}\mathrm{of}1\mathrm{table}=\mathrm{Rs}414 \end{gathered}$$