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Question Number 113490 by AbhishekBasnet last updated on 13/Sep/20

Commented by som(math1967) last updated on 13/Sep/20

Ratio of capitals  5700:6000:6900  =19:20:23  Interest paid  (5700+6000+6900)×(5/(100))  =Rs 930  paid for partner=250×3=750  Remaining profit=4966−930−750  =Rs3286  Mana receive  =3286×((19)/(19+20+23)) +250  =53×19+250=Rs1257  Dhana receive  =3286×((20)/(62))+250=Rs1310  Jana receive=3286×((23)/(62))+250  =Rs1469

$$\mathrm{Ratio}\:\mathrm{of}\:\mathrm{capitals} \\ $$$$\mathrm{5700}:\mathrm{6000}:\mathrm{6900} \\ $$$$=\mathrm{19}:\mathrm{20}:\mathrm{23} \\ $$$$\mathrm{Interest}\:\mathrm{paid} \\ $$$$\left(\mathrm{5700}+\mathrm{6000}+\mathrm{6900}\right)×\frac{\mathrm{5}}{\mathrm{100}} \\ $$$$=\mathrm{Rs}\:\mathrm{930} \\ $$$$\mathrm{paid}\:\mathrm{for}\:\mathrm{partner}=\mathrm{250}×\mathrm{3}=\mathrm{750} \\ $$$$\mathrm{Remaining}\:\mathrm{profit}=\mathrm{4966}−\mathrm{930}−\mathrm{750} \\ $$$$=\mathrm{Rs3286} \\ $$$$\mathrm{Mana}\:\mathrm{receive} \\ $$$$=\mathrm{3286}×\frac{\mathrm{19}}{\mathrm{19}+\mathrm{20}+\mathrm{23}}\:+\mathrm{250} \\ $$$$=\mathrm{53}×\mathrm{19}+\mathrm{250}=\mathrm{Rs1257} \\ $$$$\mathrm{Dhana}\:\mathrm{receive} \\ $$$$=\mathrm{3286}×\frac{\mathrm{20}}{\mathrm{62}}+\mathrm{250}=\mathrm{Rs1310} \\ $$$$\mathrm{Jana}\:\mathrm{receive}=\mathrm{3286}×\frac{\mathrm{23}}{\mathrm{62}}+\mathrm{250} \\ $$$$=\mathrm{Rs1469} \\ $$

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