A and B started a business by investing Rs. 3 | vedclass

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(D) The ratio of capital invested by $A$ and $B$ is $3,50,000 : 1,40,000 = 5 : 2$.Let the total yearly profit be $x$.$A$ receives $20\%$ of the profit

Vedclass · Accepted Answer

$70,000$

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(D) The ratio of capital invested by $A$ and $B$ is $3,50,000 : 1,40,000 = 5 : 2$.Let the total yearly profit be $x$.$A$ receives $20\%$ of the profit for management,which is $0.2x = \frac{x}{5}$.The remaining profit is $x - \frac{x}{5} = \frac{4x}{5}$.This remaining profit is divided between $A$ and $B$ in the ratio $5 : 2$.$A$'s share from the remaining profit $= \frac{5}{7} 	imes \frac{4x}{5} = \frac{4x}{7}$.$B$'s share from the remaining profit $= \frac{2}{7} 	imes \frac{4x}{5} = \frac{8x}{35}$.Total share of $A = \frac{x}{5} + \frac{4x}{7} = \frac{7x + 20x}{35} = \frac{27x}{35}$.Total share of $B = \frac{8x}{35}$.The difference between $A$'s and $B$'s share is $\frac{27x}{35} - \frac{8x}{35} = \frac{19x}{35}$.Given that the difference is $Rs. 38,000$,we have $\frac{19x}{35} = 38,000$.$x = \frac{38,000 	imes 35}{19} = 2,000 	imes 35 = 70,000$.Thus,the total profit is $Rs. 70,000$.

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