$A$ 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?

Simran started a software business by investing ₹ $50000$. After six months,Nanda joined her with a capital of ₹ $80000$. After $3$ years,they earned a profit of ₹ $24500$. What was Simran's share in the profit? (In ₹)

$A$,$B$ and $C$ start a business. If the ratio of their periods of investments is $2: 3: 6$ and their profits are in the ratio of $4: 5: 6$, then the ratio of capitals of $A$,$B$ and $C$ is

$A$ started a business with ₹ $3500$ and after $5$ months,$B$ joined $A$ as his partner. After a year,the profit was divided in the ratio $2:3$. What was $B$'s contribution to the capital (in ₹)?

$A$ and $B$ enter into a partnership for a year. $A$ contributes $₹ 1500$ and $B$ $₹ 2000$. After $4$ months,they admit $C$,who contributes $₹ 2250$. If $B$ withdraws his contribution after $9$ months,how would they share a profit of $₹ 900$ at the end of the year?

$A, B$ and $C$ entered into a partnership by investing ₹ $12000$, ₹ $15000$ and ₹ $18000$ respectively. $A$ is also a working partner and receives $15 \%$ of the annual profit for his work. If $B$ and $C$ received ₹ $8500$ and ₹ $10200$ from the annual profit as their shares, what amount did $A$ receive from the annual profit?