Question

16 mark for review the regular price of a shirt at a store is $11.70. the sale price of the shirt is 80% less than the regular price, and the sale price is 30% greater than the store’s cost for the shirt. what was the store’s cost, in dollars, for the shirt? (disregard the $ sign when entering your answer. for example, if your answer is $4.97, enter 4.97)

Explanation:

Step1: Calculate sale price

The sale price is 80% less than regular price. So sale price = regular price × (1 - 80%) = \( 11.70 \times (1 - 0.8) \) = \( 11.70 \times 0.2 = 2.34 \)

Step2: Relate sale price to cost

Let cost be \( x \). Sale price is 30% greater than cost, so sale price = \( x \times (1 + 30\%) = 1.3x \)
We know sale price is 2.34, so \( 1.3x = 2.34 \)
Solve for \( x \): \( x = \frac{2.34}{1.3} = 1.8 \)

Answer:

1.8