Question

In which of the following stores would you pay the least amount for an item that is priced $360?
Store A: Sale of 10% off and a successive discount of 10% off.
Store B: Sale of 15% with no additional discount.
Store C: Sale of $35 off and a successive discount of 10% off.
a.
All of the stores have the same discounted price.
b.
You can get the lowest price at Store A.
c.
You can get the lowest price at StoreB.
d.
You can get the lowest price at Store C.

Answer 1

Let's calculate the final price at each store based on the provided discounts:

**Store A:**
- First discount: 10% off of $360
\[
10\% \text{ of } 360 = 0.10 \times 360 = 36
\]
So, the new price after the first discount:
\[
360 - 36 = 324
\]
- Second discount: 10% off of $324
\[
10\% \text{ of } 324 = 0.10 \times 324 = 32.4
\]
So, the final price after the second discount:
\[
324 - 32.4 = 291.6
\]

**Store B:**
- Discount of 15% off of $360
\[
15\% \text{ of } 360 = 0.15 \times 360 = 54
\]
So, the final price:
\[
360 - 54 = 306
\]

**Store C:**
- First discount: $35 off of $360
\[
360 - 35 = 325
\]
- Second discount: 10% off of $325
\[
10\% \text{ of } 325 = 0.10 \times 325 = 32.5
\]
So, the final price after the second discount:
\[
325 - 32.5 = 292.5
\]

Now let's summarize the final prices:
- **Store A:** $291.6
- **Store B:** $306
- **Store C:** $292.5

Now we can compare:
- Store A: $291.6
- Store B: $306
- Store C: $292.5

The store with the least amount paid is **Store A**.

**The correct answer is:**
b. You can get the lowest price at Store A.