A discount of `30%` off the original selling price of a dress reduced the price to `$99.`
`{:("Quantity A","Quantity B"),("The original selling price",$150),("of the sweater",):}`

Options

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the infromation given.

Answer

To solve the problem step by step, we need to find the original selling price of the dress after a 30% discount reduces the price to $99.

### Step 1: Define the Variables
Let the original selling price of the dress be denoted as \( x \).

### Step 2: Set Up the Equation
According to the problem, a discount of 30% off the original price results in a final price of $99. This can be expressed as:
\[ x - 0.30x = 99 \]

### Step 3: Simplify the Equation
We can simplify the left side of the equation:
\[ 0.70x = 99 \]

### Step 4: Solve for \( x \)
To find \( x \), divide both sides of the equation by 0.70:
\[ x = \frac{99}{0.70} \]

### Step 5: Calculate the Value
Now, calculate the value:
\[ x = \frac{99}{0.70} = 141.42857 \approx 141.43 \]

### Step 6: Compare with Quantity B
Now we compare the original selling price \( x \approx 141.43 \) with Quantity B, which is $150.

### Conclusion
Since \( 141.43 < 150 \), we conclude that Quantity B is greater than Quantity A.

### Final Answer
The answer is that Quantity B is greater.

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