In September 2010, Armando purchased 5 identically priced shirts and 3 identically priced pairs of trousers from a certain department...
GMAT Two Part Analysis : (TPA) Questions
In September 2010, Armando purchased 5 identically priced shirts and 3 identically priced pairs of trousers from a certain department store. Armando paid a total of €28.85 for the shirts and €38.97 for the trousers. In October 2010, the department store held a sale, taking 25% off of the September price of everything in the store. Armando returned to the store during the October 2010 sale and bought 11 of the shirts and 7 pairs of the trousers for some friends.
In the table, select how much Armando paid in October for the 11 shirts and 7 pairs of trousers, rounding for each item to the nearest cent. Make only one selection in each column.
Let's visualize this problem to make it crystal clear with a simple price calculation table.
Phase 1: Understanding the Data
Price Breakdown Table:
| Period | Item | Total Cost | Quantity | Unit Price |
| Sept 2010 | Shirts | €28.85 | 5 | €5.77 |
| Sept 2010 | Trousers | €38.97 | 3 | €12.99 |
| Oct 2010 | Shirts | ? | 11 | ? |
| Oct 2010 | Trousers | ? | 7 | ? |
Phase 2: Calculating October Prices
In October, the store offers 25% off everything. This means customers pay 75% of the September price.
October Unit Prices:
- Shirt: \(€5.77 \times 0.75 = €4.3275\)
- Trousers: \(€12.99 \times 0.75 = €9.7425\)
Rounding to nearest cent (as instructed):
- Shirt: €4.33
- Trousers: €9.74
Phase 3: Finding October Purchase Totals
Calculating totals for Armando's October purchase:
- 11 shirts: \(11 \times €4.33 = €47.63\)
- 7 trousers: \(7 \times €9.74 = €68.18\)
Phase 4: Solution
Looking at our answer choices, we need to select the values closest to our calculations:
- For shirts (€47.63), the closest option is €47.60
- For trousers (€68.18), the closest option is €68.20
Final Answer:
- Statement 1 (Shirts): €47.60
- Statement 2 (Trousers): €68.20