Question Number 6743 by Tawakalitu. last updated on 20/Jul/16
$${P}\:{and}\:{Q}\:{are}\:{partners}\:{in}\:{a}\:{venture},\:\:{P}\:\:{contributed}\:#\mathrm{20},\mathrm{000}\:{for} \\ $$$${nine}\:{month},\:{and}\:{Q}\:{contributed}\:#\mathrm{50},\mathrm{000}\:{for}\:{one}\:{year}.\:{find}\:{each} \\ $$$${person}\:{share}\:{of}\:\:{profit}\:{of}\:#\mathrm{6},\mathrm{300} \\ $$$$ \\ $$
Answered by Rasheed Soomro last updated on 20/Jul/16
$${In}\:{order}\:{to}\:{compare}\:{the}\:{investments}\:{of}\: \\ $$$${P}\:\:\:{and}\:\:\:{Q}\:\:\:{and}\:{then}\:{divide}\:{the}\:{profit}\:{in} \\ $$$${light}\:{of}\:{that}\:{coparison}\:{we}\:{need}\:{to}\:{determine} \\ $$$${the}\:{investments}\:{for}\:\boldsymbol{{same}}\:\boldsymbol{{period}}. \\ $$$${An}\:{easy}\:{way}\:{is}\:{to}\:{determine}\:{for}\:\boldsymbol{{one}}\:\boldsymbol{{month}}. \\ $$$$ \\ $$$${Contribution}\:{of}\:\:#\mathrm{20},\mathrm{000}\:\:{for}\:\:\mathrm{9}\:{months} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:={Contribution}\:\:#\left(\mathrm{9}×\mathrm{20},\mathrm{000}\right)\:{for}\:\mathrm{1}\:{month}. \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=#\mathrm{180},\mathrm{000}\:{for}\:\:\mathrm{1}\:\:{month}. \\ $$$$ \\ $$$${Contribution}\:{of}\:\:#\mathrm{50},\mathrm{000}\:{for}\:\:\mathrm{12}\:{months} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:={Contribution}\:#\left(\mathrm{12}×\mathrm{50},\mathrm{000}\right)\:{for}\:\mathrm{1}\:{month} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=#\mathrm{600},\mathrm{000}\:{for}\:\mathrm{1}\:{month}. \\ $$$$ \\ $$$${Ratio}\:{of}\:{investments}\:{of}\:{P}\:\:\:{and}\:\:{Q} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=#\mathrm{180},\mathrm{000}:#\mathrm{600},\mathrm{000}=\mathrm{18}:\mathrm{60}=\mathrm{3}:\mathrm{10} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{profit}\:{of}\:{P}=\:\mathrm{6300}×\frac{\mathrm{3}}{\mathrm{13}}\approx\mathrm{1453}.\mathrm{85} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{profit}\:{of}\:{Q}=\:\mathrm{6300}×\frac{\mathrm{10}}{\mathrm{13}}\approx\mathrm{4846}.\mathrm{15} \\ $$$$\:\:\:\:\:\:\: \\ $$
Commented by Tawakalitu. last updated on 20/Jul/16
$${Thanks}\:{so}\:{much} \\ $$