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Question Number 126655 by zakirullah last updated on 23/Dec/20

Answered by physicstutes last updated on 23/Dec/20

So he is selling at Rs 2000( SP) and he gives his customers 20% discount. let the cost price of his good (CP) = x %profit = ((actual profit)/(CP))×100% actual profit = SP − CP = 2000 −x ⇒ 25 = ((2000−x)/x) × 100 .......(i) 25x = 200000−100x x_1 = Rs 1600 = CP

$$\:\mathrm{So}\:\mathrm{he}\:\mathrm{is}\:\mathrm{selling}\:\mathrm{at}\:\mathrm{Rs}\:\mathrm{2000}\left(\:\mathrm{SP}\right)\:\mathrm{and}\:\mathrm{he}\:\mathrm{gives}\:\mathrm{his}\:\mathrm{customers}\:\mathrm{20\%}\:\mathrm{discount}. \\ $$$$\mathrm{let}\:\mathrm{the}\:\mathrm{cost}\:\mathrm{price}\:\mathrm{of}\:\mathrm{his}\:\mathrm{good}\:\left(\mathrm{CP}\right)\:=\:{x} \\ $$$$\:\%\mathrm{profit}\:=\:\frac{\mathrm{actual}\:\mathrm{profit}}{\mathrm{CP}}×\mathrm{100\%} \\ $$$$\mathrm{actual}\:\mathrm{profit}\:=\:\mathrm{SP}\:−\:\mathrm{CP}\:=\:\mathrm{2000}\:−{x} \\ $$$$\Rightarrow\:\mathrm{25}\:=\:\frac{\mathrm{2000}−{x}}{{x}}\:×\:\mathrm{100}\:.......\left(\mathrm{i}\right)\:\:\:\: \\ $$$$\:\mathrm{25}{x}\:=\:\mathrm{200000}−\mathrm{100}{x} \\ $$$$\:{x}_{\mathrm{1}} \:=\:\mathrm{Rs}\:\mathrm{1600}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:\mathrm{CP}\:\:\:\:\: \\ $$

Commented by zakirullah last updated on 23/Dec/20

a boundle of thanks

$$\boldsymbol{{a}}\:\boldsymbol{{boundle}}\:\boldsymbol{{of}}\:\boldsymbol{{thanks}} \\ $$

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