Question Number 58508 by azizullah last updated on 24/Apr/19
Answered by tanmay last updated on 24/Apr/19
$${L}.{P}={x} \\ $$$${S}.{P}={x}−\frac{{x}×\mathrm{10}}{\mathrm{100}} \\ $$$$\:\:\:\:\:=\frac{\mathrm{9}{x}}{\mathrm{10}} \\ $$$${C}.{P}={S}.{P}−{Profit} \\ $$$${C}.{P}=\frac{\mathrm{9}{x}}{\mathrm{10}}−\mathrm{150} \\ $$$$\:\:\:=\frac{\mathrm{9}{x}−\mathrm{1500}}{\mathrm{10}} \\ $$$$\%{profit}=\frac{\mathrm{150}}{\frac{\mathrm{9}{x}−\mathrm{1500}}{\mathrm{10}}}×\mathrm{100}=\mathrm{20} \\ $$$$\frac{\mathrm{150000}}{\mathrm{9}{x}−\mathrm{1500}}=\mathrm{20} \\ $$$$\mathrm{180}{x}−\mathrm{30000}=\mathrm{150000} \\ $$$${x}=\frac{\mathrm{180000}}{\mathrm{180}}=\mathrm{1000} \\ $$$${list}\:{price}=\mathrm{1000} \\ $$
Commented by azizullah last updated on 24/Apr/19
$$\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{thanks}}\:\boldsymbol{\mathrm{so}}\:\boldsymbol{\mathrm{much}} \\ $$