- Identify pre-gratuity totals: \(\$1,272.00\) for Store A and \(\$1,444.50\) for Store B.
- Calculate final totals with a 15% gratuity: Store A is \(\$1,272.00 \times 1.15 = \$1,462.80\) and Store B is \(\$1,444.50 \times 1.15 = \$1,661.175\).
- Find the difference: \(\$1,661.175 - \$1,462.80 = \$198.375\).
- Round the difference to the nearest cent: \(\boxed{\$198.38}\).
Explanation
- Analysis of Provided Data
The problem asks us to find the difference in the final total cost of computer repair between Store A and Store B, including a 15% gratuity.
From the provided table:
- Store A: The pre-gratuity total price is \(\$1,272.00\).
- Store B: The pre-gratuity total price is \(\$1,444.50\).
We assume a 15% gratuity is applied to both stores to calculate the final total cost.
- Calculating Final Totals with Gratuity
To calculate the final cost including gratuity for each store, we multiply the pre-gratuity total by \((1 + 0.15)\), which is \(1.15\).
The final price is \(\$1,272.00 \times 1.15 = \$1,462.80\).
The final price is \(\$1,444.50 \times 1.15 = \$1,661.175\).
- Calculating the Difference
Now, we find the difference in total price between Store B and Store A:
Difference = \(\$1,661.175 - \$1,462.80 = \$198.375\).
Rounding to the nearest cent, the difference is \(\$198.38\). Looking at the options provided, this matches the second choice.
Examples
This method of calculating final totals, including taxes and gratuities, is a common task in daily life when managing personal finances or evaluating business expenses. Whether you are comparing quotes for professional services, such as computer repairs, or estimating restaurant bills, understanding how to apply percentage increases sequentially helps you make informed financial decisions. By calculating the base cost and applying additional fees consistently, you can accurately compare different offers and choose the most cost-effective solution.