Question Number 52960 by Otchere Abdullai last updated on 15/Jan/19
$${A}\:{wholesaler}\:{buys}\:{an}\:{article}\:{at}``\:\$\mathrm{32}\: \\ $$$${less}\:\mathrm{12}.\mathrm{5\%}''.\:{she}\:{then}\:{sells}\:{the}\:{article} \\ $$$${at}\:{a}\:{gain}\:{of}\:\mathrm{25\%}\:{of}\:{her}\:{cost}\:{after}\: \\ $$$${allowing}\:{a}\:\:\mathrm{20\%}\:{discount}\:{on}\:{her}\: \\ $$$${marked}\:{price}.\:{what}\:{is}\:{the}\:{marked}\: \\ $$$${price}. \\ $$$${please}\:{sir}\:{help}\:{me}\:{thanks} \\ $$
Answered by tanmay.chaudhury50@gmail.com last updated on 15/Jan/19
$${cost}\:{price}=\mathrm{32} \\ $$$${sell}\:{price}=\mathrm{32}+\frac{\mathrm{32}×\mathrm{25}}{\mathrm{100}}=\mathrm{36} \\ $$$${marked}\:{price}\:{be}\:{x} \\ $$$${x}−\frac{{x}×\mathrm{20}}{\mathrm{100}}\:{is}\:{sell}\:{price} \\ $$$$={x}−\frac{{x}}{\mathrm{5}} \\ $$$$=\frac{\mathrm{4}{x}}{\mathrm{5}} \\ $$$$\frac{\mathrm{4}{x}}{\mathrm{5}}=\mathrm{36} \\ $$$${x}={msrked}\:{price}=\mathrm{45} \\ $$$${i}\:{could}\:{not}\:{understand}\:{the}\:{meaning}\:{of} \\ $$$$\mathrm{32}\:{less}\:\mathrm{12}.\mathrm{5\%} \\ $$$$\boldsymbol{{pls}}\:\boldsymbol{{check}}\:\boldsymbol{{the}}\:\boldsymbol{{answer}}\:\boldsymbol{{if}}\:\boldsymbol{{not}}\:\boldsymbol{{correct}}\:\boldsymbol{{le}}\: \\ $$$$\boldsymbol{{md}}\:\boldsymbol{{think}} \\ $$
Commented by mr W last updated on 15/Jan/19
$$\left(\mathrm{100\%}−\mathrm{20\%}\right){x}=\left(\mathrm{100\%}−\mathrm{12}.\mathrm{5\%}\right)×\mathrm{32}×\left(\mathrm{100\%}+\mathrm{25\%}\right) \\ $$$$\mathrm{0}.\mathrm{8}{x}=\mathrm{0}.\mathrm{875}×\mathrm{32}×\mathrm{1}.\mathrm{25} \\ $$$${x}=\frac{\mathrm{0}.\mathrm{875}×\mathrm{32}×\mathrm{1}.\mathrm{25}}{\mathrm{0}.\mathrm{8}}=\mathrm{43}.\mathrm{75}\:\$ \\ $$
Commented by Otchere Abdullai last updated on 15/Jan/19
$${am}\:{much}\:{greatful}\:{mr}\:{tanmay}\:{for}\: \\ $$$${your}\:{great}\:{contribution}\:{sir}\:{God}\:{bless} \\ $$$${you}! \\ $$
Commented by Otchere Abdullai last updated on 15/Jan/19
$${Am}\:{always}\:{greatful}\:{mr}\:{W}\:{for}\:{your}\: \\ $$$${great}\:{help}\:{infact}\:{you}\:{are}\:{making}\:{me} \\ $$$${enjoy}\:{this}\:{app}\:{alot}\:{thanks}\:{sir}! \\ $$
Commented by Otchere Abdullai last updated on 15/Jan/19
$${I}\:{thank}\:{God}\:{for}\:{meeting}\:{such}\:{great}\: \\ $$$${mathematicians}\:{God}\:{bless}\:{you}\:{all}\: \\ $$$${sir}! \\ $$