Rahul and Bharti are partners in a business. Rahul contributes $$\frac{1}{4}$$th capital for 15 months and Bharti received $$\frac{2}{3}$$ of profit. For how long Bharti money was used.
A. 8 months
B. 10 months
C. 11 months
D. 17 months
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & {\text{Let}}\,{\text{the}}\,{\text{total}}\,{\text{profit}}\,{\text{be}}\,Rs.\,Z \cr & {\text{Bharti's}}\,{\text{share}} = {\frac{2}{3}} Z \cr & {\text{Rahul's}}\,{\text{share}} = Z - {\frac{2}{3}} Z \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{Z}{3} \cr & {\text{Rahul:Bharti}} \cr & = \frac{Z}{3}: {\frac{2}{3}} Z = 1:2 \cr & {\text{Now}}\,{\text{let}}\,{\text{the}}\,{\text{total}}\,{\text{capital}}\,{\text{be}}\,Rs\,X, \cr & {\text{and}}\,{\text{Bharti}}\,{\text{capital}}\,{\text{was}}\,{\text{used}}\,{\text{for}}\,Y\,{\text{months}}. \cr & {\text{then,}}\,{\text{Rahul}}\,{\text{capital}}\,{\text{will}}\,{\text{be}}\, {\frac{1}{4}} X \cr & {\text{and}}\,{\text{Bharti}}\,{\text{capital}}\,{\text{will}}\,{\text{be}}\,X - {\frac{1}{4}} X \cr & = \frac{{3X}}{4} \cr & \frac{{\frac{1}{4}X*15}}{{\frac{3}{4}X*Y}} = \frac{1}{2} \cr & Y = \frac{{15*2}}{3} = 10 \cr & {\text{So,}}\,{\text{Bharti's}}\,{\text{money}}\,{\text{was}}\,{\text{used}}\,{\text{for}}\,{\text{10}}\,{\text{months}} \cr} $$Related Questions on Partnership
A. 5 : 7 : 8
B. 20 : 49 : 64
C. 38 : 28 : 21
D. None of these
A. Rs. 40000
B. Rs. 50000
C. Rs. 60000
D. Rs. 70000
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