What was the marked price of the table Mr. Duncan bought after a discount of 30%?

• A. $140
• B. $120
• C. $160
• D. $100

Answer: (A)

To determine the marked price of the table Mr. Duncan bought after a discount of 30%, we first need to understand how to calculate the discount on a marked price and what that involves.

Let's denote the marked price of the table as ( M ). If Mr. Duncan received a discount of 30%, this means he paid 70% of the marked price, since 100% - 30% = 70%.

Mathematically, we can express this relationship as follows:

[

\text{Selling Price} = M \times 70% = M \times 0.70

]

If Mr. Duncan paid $140 for the table, we can set up the equation:

[

140 = M \times 0.70

]

To find ( M ), we can rearrange the equation:

[

M = \frac{140}{0.70}

]

Calculating this gives:

[

M = 200

]

This calculation indicates that the marked price was $200. However, the options provided appear not to reflect this outcome directly. Therefore, there might have been an error in the original selection of choices or potential confusion in interpreting the question itself.

To sum