Comprehension
A bar chart shows the number of units sold by a company for four products (P1, P2, P3, P4) in two years (2010, 2011). 
Question: 1
Which product had the highest percentage increase in sales from 2010 to 2011?
Which product had the highest percentage increase in sales from 2010 to 2011?
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For percentage increase, calculate \frac{\text{Change}}{\text{Original}} \times 100 for each item and compare.
Updated On: Aug 11, 2025
- P1
- P2
- P3
- P4
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The Correct Option is A
Solution and Explanation
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).
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).
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Question: 2
What is the total sales in 2011?
What is the total sales in 2011?
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For total calculations, sum carefully and verify by re-adding.
Updated On: Aug 11, 2025
- 800 units
- 820 units
- 840 units
- 860 units
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The Correct Option is B
Solution and Explanation
- 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.
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Question: 3
Which product had a decrease in sales from 2010 to 2011?
Which product had a decrease in sales from 2010 to 2011?
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For increase/decrease questions, compare values directly and focus on the direction of change.
Updated On: Aug 11, 2025
- P1
- P2
- P3
- P4
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The Correct Option is C
Solution and Explanation
- 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.
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Question: 4
What is the percentage of P1's sales in 2011 relative to total 2011 sales?
What is the percentage of P1's sales in 2011 relative to total 2011 sales?
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For percentage of total, divide the part by the total and multiply by 100, using precise calculations.
Updated On: Aug 11, 2025
- 28.05 %
- 30.49 %
- 32.93 %
- 35.37 %
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The Correct Option is B
Solution and Explanation
- 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.
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