Final answer:
To find the original price of the microwave oven, we can use the information given about the markdown and mark-up. By solving an equation, the original price is found to be approximately AED 454.55.
Step-by-step explanation:
In this question, we are given that a microwave oven was marked down by 12% and sold at a price of AED 400. We are also told that at this selling price, a 30% mark-up was made on the selling price. Using this information, we can find the original price of the microwave oven.
Let's assume the original price of the microwave oven is x AED. We know that after a 12% markdown, the selling price is AED 400. This can be represented as: x - 0.12x = 400
Simplifying this equation, we get:
0.88x = 400
x = 400 / 0.88
x ≈ 454.55 AED
Therefore, the original price of the microwave oven was approximately AED 454.55.