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Two department stores, A and B, sell the same item at different prices. Store A is offering the item at a 20% discount off its regular price, selling it for $50.00. This sale price is 75% of the regular price at store B.

What is the regular price of the item at each store?

A. $62.50 in A and $200.00 in B
B. $62.50 in A and $66.67 in B
C. $66.67 in A and $62.50 in B
D. $250.00 in A and $200.00 in B

Answer :

The regular price at store A is $62.50, and the regular price at store B is $66.67. To determine the regular prices of an item at stores A and B, we use the given information that store A is selling the item at a discounted price of $50.00, which is 75% of the regular price at store B.

By setting up an equation and solving for the regular prices, we can determine the correct option among the given choices.

Let's assume the regular price of the item at store A is Pₐ and the regular price at store B is P_b. We are given that store A is selling the item for $50.00, which is 75% of the regular price at store B. This can be expressed as:

50 = 0.75 * P_b.

To find the regular price at store B, we divide both sides of the equation by 0.75:

P_b = 50 / 0.75 = $66.67.

Since store A is putting the item on sale for 20% off its regular price, the sale price is 80% of the regular price. Therefore, we can set up the equation:

50 = 0.8 * Pₐ.

Solving for Pₐ, we divide both sides by 0.8:

Pₐ = 50 / 0.8 = $62.50.

Hence, the correct option is b. The regular price at store A is $62.50, and the regular price at store B is $66.67.

To learn more about equation, click here:

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