Subjects algebra

Successive Markdowns

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1. The problem states that a listed price of 3500 is first reduced by 12%, then by an additional 8%. We need to find the final price after these successive markdowns. 2. First, calculate the price after the 12% markdown. A 12% markdown means the price is reduced to 88% of the original price. $$\text{Price after 12% markdown} = 3500 \times (1 - 0.12) = 3500 \times 0.88 = 3080$$ 3. Next, apply the 8% markdown to the new price. An 8% markdown means the price is reduced to 92% of the current price. $$\text{Final price} = 3080 \times (1 - 0.08) = 3080 \times 0.92 = 2833.6$$ 4. Therefore, the final price after both markdowns is 2833.6. 5. Comparing with the options given, the closest final price is option d: 2833.60.