$A$, $B$, and $C$ enter into a partnership. $A$ invests ₹$20,000$ for $12$ months, $B$ invests ₹$30,000$ for $8$ months, and $C$ invests ₹$40,000$ for $6$ months. If the total annual profit is ₹$21,000$, find $B$'s share in the profit.

Options:

• A: ₹$6,000$
• B: ₹$7,000$
• C: ₹$8,000$
• D: ₹$9,000$

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