Question

Three person x,y,&z started business in partnership by investing RS.24000,RS.52000&RS 80000 respectively.at the end of the year ,they earned a profit of RS 7800in the business.find the shares of each in the profit.

Answer 1

$$\begin{gathered} Assumiongtheshareintheprofitisinthesameratioinwhichtheyinvested \\ xinvested24,000 \\ yinvested52,000 \\ zinvested80,000 \\ Totalinvestement=24,000+52,000+80,000=1,56,000 \\ Totalprofitis7800 \\ Shareofx=\frac{24,000}{1,56,000}\times 7,800=\frac{24}{156}\times 7,800=\frac{2}{13}\times 7,800=1,200 \\ Shareofy=\frac{52,000}{1,56,000}\times 7,800=\frac{52}{156}\times 7,800=\frac{4}{12}\times 7,800=\frac{7800}{3}=2,600 \\ Shareofz=remainingmoney=7,800-\left(1,200+2,600\right)=4,000 \end{gathered}$$