Question

The cost price of a desk and a chair is Rs. 371. If the desk costs 12% more than the chair, find the cost price of each.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{cost}\mathrm{price}\mathrm{of}\mathrm{chair}\mathrm{is}\mathrm{x}. \\ \mathrm{Then}\mathrm{cost}\mathrm{price}\mathrm{of}\mathrm{desk}=\mathrm{x}+\frac{12}{100}\mathrm{x}=1.12\mathrm{x} \\ \mathrm{A}.\mathrm{T}.\mathrm{Q} \\ \mathrm{x}+1.12\mathrm{x}=371 \\ 2.12\mathrm{x}=371 \\ \mathrm{x}=\frac{371}{2.12}=175 \\ \mathrm{C}.\mathrm{p}\mathrm{of}\mathrm{chair}\mathrm{is}\mathrm{Rs}.175 \\ \mathrm{and}\mathrm{c}.\mathrm{p}\mathrm{of}\mathrm{desk}=1.12\left(175\right)=\mathrm{Rs}.196 \end{gathered}$$