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Question

# The sales price of a television, inclusive of VAT, is Rs 13,500. If VAT charged at the rate of 8% of the list price, find the list price of the television.

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Solution

## $\mathrm{Let}\mathrm{the}\mathrm{list}\mathrm{price}\mathrm{of}\mathrm{the}\mathrm{TV}\mathrm{be}\mathit{}\mathrm{Rs}.\mathit{}x.\phantom{\rule{0ex}{0ex}}\mathrm{VAT}charged=8%\phantom{\rule{0ex}{0ex}}Given,\phantom{\rule{0ex}{0ex}}CostpriceoftheTV=Rs.13,500\phantom{\rule{0ex}{0ex}}So,\phantom{\rule{0ex}{0ex}}\mathrm{Cost}priceoftheTV=x+8%\mathrm{of}x\phantom{\rule{0ex}{0ex}}13,500=x+0.08x\phantom{\rule{0ex}{0ex}}13,500=1.08x\phantom{\rule{0ex}{0ex}}x=\frac{13,500}{1.08}\phantom{\rule{0ex}{0ex}}x=Rs.12,500\phantom{\rule{0ex}{0ex}}\mathrm{Thus},\mathit{}\mathrm{t}\mathrm{h}\mathrm{e}\mathit{}\mathrm{list}\mathit{}\mathrm{p}\mathrm{r}\mathrm{i}\mathrm{c}\mathrm{e}\mathit{}\mathrm{o}\mathrm{f}\mathit{}\mathrm{t}\mathrm{h}\mathrm{e}\mathit{}\mathrm{TV}\mathrm{is}\mathrm{Rs}.12,500.$

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