$A$ and $B$ started a business investing ₹$40,000$ and ₹$50,000$ respectively. $A$ receives $10\%$ of the profit for managing the business and the rest is divided in the ratio of their capitals. If the total profit is ₹$30,000$, find $A$'s total share.

Options:

• A: ₹$12,000$
• B: ₹$13,500$
• C: ₹$15,000$
• D: ₹$16,500$

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