A and B enter into a partnership. A supplies | vedclass

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Question

(A) Let the total yearly profit be ₹ $x$.Salary received by $B$ per year $= 120 	imes 12 = ₹ 1440$.Net profit to be distributed equally $= x - 1440$.

Vedclass · Accepted Answer

$9180$

Vedclass · Answer

(A) Let the total yearly profit be ₹ $x$.Salary received by $B$ per year $= 120 	imes 12 = ₹ 1440$.Net profit to be distributed equally $= x - 1440$.Share of $A$ and $B$ each $= \frac{x - 1440}{2}$.Interest paid by $B$ to $A$ on half the capital $= \frac{10}{100} 	imes \frac{45000}{2} = \frac{10}{100} 	imes 22500 = ₹ 2250$.$A$'s total income $= 	ext{Share} + 	ext{Interest} = \frac{x - 1440}{2} + 2250 = \frac{x - 1440 + 4500}{2} = \frac{x + 3060}{2}$.$B$'s total income $= 	ext{Share} + 	ext{Salary} - 	ext{Interest} = \frac{x - 1440}{2} + 1440 - 2250 = \frac{x - 1440 - 1620}{2} = \frac{x - 3060}{2}$.Given that $B$'s income $= \frac{1}{2} 	imes A$'s income:$\frac{x - 3060}{2} = \frac{1}{2} 	imes \frac{x + 3060}{2}$.$2(x - 3060) = x + 3060$.$2x - 6120 = x + 3060$.$x = 9180$.Thus,the total yearly profit is ₹ $9180$.

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