Question

the price of a T.V set inclusive of VAT is Rs.13,530.if rate of VAT is 10% find its basic price

Answer 1

Dear student
$$\begin{gathered} \mathrm{Let}\mathrm{basic}\mathrm{price}\mathrm{of}\mathrm{T}.\mathrm{V}\mathrm{be}\mathrm{x},\mathrm{VAT}=10\% \\ \mathrm{Therefore},\mathrm{VAT}=10\%\mathrm{of}\mathrm{x}=\frac{10}{100}\mathrm{x}=\frac{\mathrm{x}}{10} \\ \mathrm{Total}\mathrm{price}\mathrm{of}\mathrm{T}.\mathrm{V}=\mathrm{x}+\frac{\mathrm{x}}{10}=\frac{11\mathrm{x}}{10} \\ \mathrm{As}\mathrm{per}\mathrm{question},\frac{11\mathrm{x}}{10}=13530 \\ \mathrm{or}\mathrm{x}=13530\left(\frac{10}{11}\right)=\mathrm{Rs}12300 \\ \mathrm{Therefore},\mathrm{basic}\mathrm{price}=\mathrm{Rs}12300 \end{gathered}$$
Regards