Question

By selling a dress for $3,500, a woman lost 30 percent. For how much should she have sold it to gain 30 percent?

a) $2,500
b) $3,000
c) $3,750
d) $4,500

Answer 1

The woman should have sold the dress for $6,500 to gain 30 percent, but this option is not listed. It seems there might be an error in the question or the options provided.

Step-by-step explanation:

To determine the original price before the woman incurred a 30 percent loss by selling the dress for $3,500, we can use the formula for percentage decrease:

Original Price = Reduced Price / (1 - Loss Percentage)

Therefore, the original price would be $3,500 / (1 - 0.30) = $3,500 / 0.70 = $5,000.

Now to calculate the selling price to gain 30 percent, we apply the formula for percentage increase:

Selling Price for 30% Gain = Original Price * (1 + Gain Percentage)

Selling Price for 30% Gain = $5,000 * (1 + 0.30) = $5,000 * 1.30 = $6,500.

However, since $6,500 is not listed in the available options, it seems there might be an error in either the question or the options provided. Please double-check the question and options for accuracy.