Rita's total bill at a restaurant was $25.00, including tax. If she left a tip of 20% of the total...
GMAT Problem-Solving and Data Analysis : (PS_DA) Questions
Rita's total bill at a restaurant was \(\$25.00\), including tax. If she left a tip of \(20\%\) of the total bill, what was the amount of the tip?
\(\$3.50\)
\(\$4.00\)
\(\$4.50\)
\(\$5.00\)
1. TRANSLATE the problem information
- Given information:
- Total bill: $25.00 (including tax)
- Tip rate: 20% of the total bill
- Find: Amount of the tip
2. TRANSLATE the percentage to decimal form
- Convert 20% to decimal: \(20\% = \frac{20}{100} = 0.20\)
- This allows us to multiply directly
3. Calculate the tip amount
- Tip = \(0.20 \times \$25.00 = \$5.00\)
Answer: D. $5.00
Why Students Usually Falter on This Problem
Most Common Error Path:
Weak TRANSLATE skill: Misreading the percentage in the problem statement
Students might accidentally misread "20%" as "14%", "16%", or "18%" due to hasty reading or visual confusion with the digit shapes. When they perform the calculation correctly but with the wrong percentage:
- 14% of $25 = \(0.14 \times 25 = \$3.50\)
- 16% of $25 = \(0.16 \times 25 = \$4.00\)
- 18% of $25 = \(0.18 \times 25 = \$4.50\)
This may lead them to select Choice A ($3.50), Choice B ($4.00), or Choice C ($4.50).
The Bottom Line:
This problem tests careful reading and basic percentage-to-decimal conversion. The key is accurately identifying that the tip rate is exactly 20%, then converting this to 0.20 for the multiplication.
\(\$3.50\)
\(\$4.00\)
\(\$4.50\)
\(\$5.00\)