$A$ and $B$ entered into a partnership with capitals in the ratio $4:5$. After $3$ months,$A$ withdrew $\frac{1}{4}$ of his capital and $B$ withdrew $\frac{1}{5}$ of his capital. The gain at the end of $10$ months was ₹ $760$. $A$'s share in the profit is (in ₹):

Anil,Nikhil,and Saurabh started a business in partnership by investing in the ratio of $6:5:8$ respectively. At the end of the year,they earned a profit of $Rs. 83,600$. What will be Saurabh's share (in $Rs.$)?

Anju and Brijesh enter into a partnership with their capitals in the ratio of $5:9$. At the end of $8$ months,Anju withdraws her capital. If they receive their share of profit in the ratio of $4:9$,find out how long Brijesh's capital was invested in the business (in months).

$A$ and $B$ started a business with initial investments in the ratio of $5:7$. If,after one year,their profits were in the ratio of $1:2$ and the period for $A$'s investment was $7$ months,for how many months did $B$ invest the money?

$A$ and $B$ enter into a partnership with capitals in the ratio $5: 6$. At the end of $8$ months,$A$ withdraws. If they receive profits in the ratio $5: 9$,find how long $B$'s capital was used (in months)?

$A$ and $B$ enter into a partnership. $A$ supplies the whole capital of ₹ $45000$ with the condition that the profits are to be equally distributed,$B$ pays $A$ interest on half of the capital at $10 \%$ per annum,and $B$ receives ₹ $120$ per month for managing the business. If $B$'s total income is $\frac{1}{2}$ of $A$'s total income,what is their total yearly profit (in ₹)?