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Question Number 56694 by otchereabdullai@gmail.com last updated on 21/Mar/19

$$\mathrm{A}\mathrm{tv}\mathrm{set}\mathrm{was}\mathrm{marked}\mathrm{for}\mathrm{sale}\mathrm{at}760.00$$$$\mathrm{cedis}\mathrm{in}\mathrm{order}\mathrm{to}\mathrm{make}\mathrm{a}\mathrm{profit}\mathrm{of}20\mathrm{\%}.$$$$\mathrm{The}\mathrm{tv}\mathrm{was}\mathrm{actually}\mathrm{sold}\mathrm{at}\mathrm{a}\mathrm{discount}$$$$\mathrm{of}5\mathrm{\%}.\mathrm{Calculate}\mathrm{to}2\mathrm{s}.\mathrm{f}\mathrm{the}\mathrm{actual}$$$$\mathrm{percentage}\mathrm{profit}$$

Answered by mr W last updated on 22/Mar/19

$$letC=costoftvset$$$$760=1.20C$$$$\Rightarrow C=\frac{760}{1.20}$$$$\frac{0.95\times 760}{\frac{760}{1.20}}=0.95\times 1.20=1.14$$$$i.e.whenthetvsetissoldatadiscount$$$$of5\mathrm{\%},theprofitpercentageis14\mathrm{\%}.$$

Commented by otchereabdullai@gmail.com last updated on 22/Mar/19

$$\mathrm{Thank}\mathrm{you}\mathrm{prof}\mathrm{W}$$

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