Henri bought a swim suit at a cost of $8. Which statements are true regarding the cost of the suit? Select three options.

Question

If the selling price is marked up by 25 percent, the new price will be $10.
If the selling price is marked up by 40 percent, the new price will be $7.50.
If the selling price is marked up by 55 percent, the new price will be $5.50.
If the selling price is marked up by 70 percent, the new price will be $13.60.
If the selling price is marked up by 75 percent, the new price will be $14.

Answer 1

To evaluate the statements, we first need to determine what the new prices would be based on different percentage markups from the original cost of the swimsuit, which is $8.

1. For a 25% markup:

   • New Price = Cost + (Cost * Markup Percentage)
   • New Price = $8 + ($8 * 0.25) = $8 + $2 = $10
   • True: The new price will be $10.

2. For a 40% markup:

   • New Price = $8 + ($8 * 0.40) = $8 + $3.20 = $11.20
   • False: The new price will not be $7.50; it will be $11.20.

3. For a 55% markup:

   • New Price = $8 + ($8 * 0.55) = $8 + $4.40 = $12.40
   • False: The new price will not be $5.50; it will be $12.40.

4. For a 70% markup:

   • New Price = $8 + ($8 * 0.70) = $8 + $5.60 = $13.60
   • True: The new price will be $13.60.

5. For a 75% markup:

   • New Price = $8 + ($8 * 0.75) = $8 + $6 = $14
   • True: The new price will be $14.

Based on this analysis, the three true statements are:

1. If the selling price is marked up by 25 percent, the new price will be $10.
2. If the selling price is marked up by 70 percent, the new price will be $13.60.
3. If the selling price is marked up by 75 percent, the new price will be $14.