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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

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 ₹ $9180$.

Similar Questions

$A$ began a business with ₹ $3750$. $B$ joined later with ₹ $5000$. When did $B$ join if the profits at the end of the year were divided equally?

$A$ began a business with ₹ $85000$. He was joined afterwards by $B$ with ₹ $42500$. For how much period (in months) does $B$ join,if the profits at the end of the year are divided in the ratio of $3:1$?

$A$ and $B$ enter into a partnership for a year. $A$ contributes ₹ $1500$ and $B$ contributes ₹ $2000$. After $4$ months,they admit $C$ who contributes ₹ $2250$. If $B$ withdraws his contribution after $9$ months,what is the ratio in which they share the profit at the end of the year?

Satheesh started a business investing ₹ $60000$. After $3$ months,Sunil joined him with a capital of ₹ $75000$. After another $6$ months,Subhash joined them with a capital of ₹ $105000$. At the end of the year,they made a profit of ₹ $19000$. Find the share of each.

Gupta and Bansal enter into a partnership with their capitals in the ratio $5:6$. At the end of $8$ months,Gupta withdraws his capital. If they receive their shares of profits in the ratio of $5:9$,find out how long (in months) Bansal's capital was invested in the business?

Vedclass Test Series

Exam Paper Generator

Online Exam Module