9. After spending 80% of her $60, Lana is left with how much money when she invests the remaining amount and earns an 80% profit?
Answer: A
Lana is left with $21.60 after spending 80% of her $60 and earning an 80% profit on the remaining amount.
After spending 80% of her $60, Lana has $12 left. When she invests this remaining amount and earns an 80% profit, she ends up with $21.60.
A) $21.60
This option is correct because after spending 80% of her $60, Lana retains $12. Calculating 80% profit on $12 gives her an additional $9.60, resulting in a total of $21.60.
B) $9.60
This option is incorrect. While $9.60 represents the profit she earns from her $12 investment (80% of $12), it does not account for the total amount she has after including her initial investment.
C) $86.40
This option is incorrect. It suggests that Lana has significantly more than her original $60, which is not possible based on the calculations, as she only invests the remaining $12.
D) $60.00
This option is also incorrect. It implies that Lana has not spent any money or earned any profit, which contradicts the scenario where she spends 80% of her funds.
Conclusion
Lana's final amount of $21.60 is calculated by first determining how much she has left after her initial expenditure and then applying the profit earned from her investment. All other options misrepresent the calculations based on her spending and profit margin, confirming that $21.60 is the only accurate answer.