A shopkeeper bought $80$ kg of sugar at Rs. $13.50$ per kg and mixed it with $120$ kg of sugar at Rs. $16$ per kg. To gain $16\%$, at what price per kg should he sell the mixture?

Options:

• A: Rs. $18$
• B: Rs. $17.40$
• C: Rs. $16.50$
• D: Rs. $17.50$

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