Question

The price of a candy bar is 1.00. The price of a ten pack of the same candy bar is 7.40. The ten pack of candy bars is what percentage cheaper then purchasing ten candy bars individually?

• A. 18%
• B. 26%
• C. 32%
• D. 48%
• E. The prices are the same.

Hint:

When calculating percentage increase or decrease, the denominator in the fraction must always be the *original* or *starting* value. A common mistake is to use the new value as the denominator.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
This problem asks for the percentage discount (or percentage cheaper) when buying an item in bulk compared to buying it individually. The percentage change is always calculated with respect to the original or standard price.
Step 2: Key Formula or Approach:
The formula for percentage discount is:
\[ \text{Percentage Cheaper} = \frac{\text{Original Price} - \text{New Price}}{\text{Original Price}} \times 100% \] Step 3: Detailed Explanation:
Part 1: Calculate the total price of buying individually.
The price of one candy bar is $1.00. The price for ten individual bars would be:
\[ \text{Original Price} = 10 \times \$1.00 = \$10.00 \] Part 2: Identify the discounted price.
The price of the ten-pack is given as:
\[ \text{New Price} = \$7.40 \] Part 3: Calculate the amount saved.
\[ \text{Savings} = \text{Original Price} - \text{New Price} = \$10.00 - \$7.40 = \$2.60 \] Part 4: Calculate the percentage cheaper.
Using the formula, with the original price as the base:
\[ \text{Percentage Cheaper} = \frac{\text{Savings}}{\text{Original Price}} \times 100% \] \[ \text{Percentage Cheaper} = \frac{\$2.60}{\$10.00} \times 100% \] \[ \text{Percentage Cheaper} = 0.26 \times 100% = 26% \] Step 4: Final Answer
The ten pack of candy bars is 26% cheaper than purchasing ten candy bars individually.