Two partners invested ₹ 12500 and ₹ 8500 in a | vedclass

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Question

(A) Let the total profit in the business be $₹ x$.$60 \%$ of the total profit $= 0.6x = \frac{3x}{5}$.This amount is divided equally,so each partner r

Vedclass · Accepted Answer

$3937.50$

Vedclass · Answer

(A) Let the total profit in the business be $₹ x$.$60 \%$ of the total profit $= 0.6x = \frac{3x}{5}$.This amount is divided equally,so each partner receives $\frac{1}{2} 	imes \frac{3x}{5} = \frac{3x}{10}$.The remaining profit is $x - \frac{3x}{5} = \frac{2x}{5}$.This remaining profit is divided in the ratio of their capitals,which is $12500 : 8500 = 25 : 17$.The share of the first partner from the remaining profit is $\frac{25}{25+17} 	imes \frac{2x}{5} = \frac{25}{42} 	imes \frac{2x}{5} = \frac{5x}{21}$.The share of the second partner from the remaining profit is $\frac{17}{42} 	imes \frac{2x}{5} = \frac{17x}{105}$.Total profit for the first partner $= \frac{3x}{10} + \frac{5x}{21}$.Total profit for the second partner $= \frac{3x}{10} + \frac{17x}{105}$.Given that the difference is $₹ 300$:$(\frac{3x}{10} + \frac{5x}{21}) - (\frac{3x}{10} + \frac{17x}{105}) = 300$.$\frac{5x}{21} - \frac{17x}{105} = 300$.$\frac{25x - 17x}{105} = 300 \implies \frac{8x}{105} = 300$.$x = \frac{300 	imes 105}{8} = 37.5 	imes 105 = 3937.50$.Thus,the total profit is $₹ 3937.50$.

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