Four different stores have the same watch on sale. The original price and discounts offered by each store are listed below. Rank the stores from the cheapest to most expensive sale price of the watch.

Question

Store A: price $129.99 and discount of 25%
Store B: price $119.99 and discount of 15%
Store C: price $115.99 and successive discounts of 5% and 5%
Store D: price $109.99 and discount of 10%
a.
A, B, C. D
b.
A, B, D, C
c.
A, C, D, B
d.
A, D, B, C

Answer 1

To find out which store has the cheapest sale price for the watch, we need to calculate the final sale price for each store after applying the respective discounts.

1. Store A:
   Price = $129.99
   Discount = 25%
   Sale price = \( 129.99 - (0.25 \times 129.99) = 129.99 - 32.4975 = 97.4925 \)
   Sale price ≈ $97.49

2. Store B:
   Price = $119.99
   Discount = 15%
   Sale price = \( 119.99 - (0.15 \times 119.99) = 119.99 - 17.9985 = 101.9915 \)
   Sale price ≈ $101.99

3. Store C:
   Price = $115.99
   First discount = 5%:
   Sale price after first discount = \( 115.99 - (0.05 \times 115.99) = 115.99 - 5.7995 = 110.1905 \)
   Second discount = 5% on the new price:
   Sale price after second discount = \( 110.1905 - (0.05 \times 110.1905) = 110.1905 - 5.509525 = 104.680975 \)
   Sale price ≈ $104.68

4. Store D:
   Price = $109.99
   Discount = 10%
   Sale price = \( 109.99 - (0.10 \times 109.99) = 109.99 - 10.999 = 98.991 \)
   Sale price ≈ $98.99

Now we have the following approximate final sale prices:

• Store A: $97.49
• Store B: $101.99
• Store C: $104.68
• Store D: $98.99

Ranking these prices from cheapest to most expensive:

1. Store A: $97.49
2. Store D: $98.99
3. Store B: $101.99
4. Store C: $104.68

Thus, the correct order from cheapest to most expensive is: A, D, B, C.

The answer is: d. A, D, B, C.