Question

Which product had the highest percentage increase in sales from 2010 to 2011?

• A. P1
• B. P2
• C. P3
• D. P4
• A. 800 units
• B. 820 units
• C. 840 units
• D. 860 units
• A. P1
• B. P2
• C. P3
• D. P4
• A. 28.05 %
• B. 30.49 %
• C. 32.93 %
• D. 35.37 %

Answer 1

The Correct Option is A

Step 1: Calculate percentage increase.
Formula: (New − Old) ÷ Old × 100.

Step 2: P1.
2010 = 200, 2011 = 250.
Increase = 250 − 200 = 50.
Percentage = (50 ÷ 200) × 100 = 25%.

Step 3: P2.
2010 = 150, 2011 = 180.
Increase = 180 − 150 = 30.
Percentage = (30 ÷ 150) × 100 = 20%.

Step 4: P3.
2010 = 300, 2011 = 270.
Increase = 270 − 300 = −30 → decrease, not applicable.

Step 5: P4.
2010 = 100, 2011 = 120.
Increase = 120 − 100 = 20.
Percentage = (20 ÷ 100) × 100 = 20%.

Step 6: Compare.
P1 = 25%, P2 = 20%, P3 = decrease, P4 = 20%.
Highest = P1.

Step 7: Verify.
P1: (50 ÷ 200) × 100 = 25%.
P2: (30 ÷ 150) × 100 = 20%.

Step 8: Check options.
Options: (1) P1, (2) P2, (3) P3, (4) P4.
Matches Option (1).

Step 9: Conclusion.
Product with highest percentage increase = P1 — correct answer is Option (1).

Answer 2

- Step 1: Identify 2011 sales. P1 = 250, P2 = 180, P3 = 270, P4 = 120.
- Step 2: Calculate total. 250 + 180 + 270 + 120.
- Step 3: Compute. 250 + 180 = 430, 430 + 270 = 700, 700 + 120 = 820 units.
- Step 4: Verify. Recalculate: 250 + 180 = 430, 430 + 270 = 700, 700 + 120 = 820.
- Step 5: Check options. Options: (1) 800, (2) 820, (3) 840, (4) 860. Matches option (2).
- Step 6: Conclusion. Option (2) is correct.

Answer 3

- Step 1: Compare sales. Check if 2011 sales are less than 2010 sales.
- Step 2: P1. 2010 = 200, 2011 = 250. 250 > 200, increase.
- Step 3: P2. 2010 = 150, 2011 = 180. 180 > 150, increase.
- Step 4: P3. 2010 = 300, 2011 = 270. 270 < 300, decrease.
- Step 5: P4. 2010 = 100, 2011 = 120. 120 > 100, increase.
- Step 6: Verify. P3: 300 - 270 = 30 decrease. Others increase.
- Step 7: Check options. Options: (1) P1, (2) P2, (3) P3, (4) P4. P3 matches option (3).
- Step 8: Conclusion. Option (3) is correct.

Answer 4

- Step 1: Find total 2011 sales. From Q18: Total = 820 units.
- Step 2: Find P1 sales. P1 in 2011 = 250 units.
- Step 3: Calculate percentage. Percentage = \frac{250}{820} \times 100.
- Step 4: Compute. \frac{250}{820} \approx 0.304878. Then, 0.304878 \times 100 = 30.4878 % \approx 30.49 %.
- Step 5: Verify. 250 \div 820 \approx 0.304878, 0.304878 \times 100 = 30.49 %.
- Step 6: Check options. Options: (1) 28.05 %, (2) 30.49 %, (3) 32.93 %, (4) 35.37 %. Matches option (2).
- Step 7: Conclusion. Option (2) is correct.