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Question Number 33783 by pieroo last updated on 24/Apr/18

$$\mathrm{Two}\mathrm{commodities}\mathrm{X}\mathrm{and}\mathrm{Y}\mathrm{cost}\mathrm{\$}70.00\mathrm{and}\mathrm{\$}80.00$$$$\mathrm{per}\mathrm{kg}\mathrm{respectively}.\mathrm{If}34.5\mathrm{kg}\mathrm{of}\mathrm{X}\mathrm{is}\mathrm{mixed}\mathrm{with}$$$$26\mathrm{kg}\mathrm{of}\mathrm{Y}\mathrm{and}\mathrm{the}\mathrm{mixture}\mathrm{is}\mathrm{sold}\mathrm{at}\mathrm{\$}85.00\mathrm{per}\mathrm{kg},$$$$\mathrm{calculate}\mathrm{the}\mathrm{percentage}\mathrm{profit}.$$

Answered by MJS last updated on 24/Apr/18

$$\mathrm{the}\mathrm{cost}\mathrm{of}\mathrm{the}\mathrm{mixture}\mathrm{per}\mathrm{kg}\mathrm{is}$$$$\frac{70\times 34.5+80\times 26}{34.5+26}\approx 74.30\mathrm{\$}$$$$\mathrm{the}\mathrm{profit}\mathrm{is}100\times (\frac{85}{74.30}-1)\approx 14.4\mathrm{\%}$$

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