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If the line graph indicates that Product A's sales increased by 50% from Q1 to Q

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Question: If the line graph indicates that Product A\'s sales increased by 50% from Q1 to Q2, what was the percentage change from Q2 to Q3 if sales decreased by 20% in Q3?

Options:

  1. 30%
  2. 40%
  3. 20%
  4. 10%

Correct Answer: 40%

Solution: 

If sales increased by 50% in Q2 and then decreased by 20%, the percentage change from Q2 to Q3 is a 40% decrease from the new base.

If the line graph indicates that Product A's sales increased by 50% from Q1 to Q

Practice Questions

Q1
If the line graph indicates that Product A's sales increased by 50% from Q1 to Q2, what was the percentage change from Q2 to Q3 if sales decreased by 20% in Q3?
  1. 30%
  2. 40%
  3. 20%
  4. 10%

Questions & Step-by-Step Solutions

If the line graph indicates that Product A's sales increased by 50% from Q1 to Q2, what was the percentage change from Q2 to Q3 if sales decreased by 20% in Q3?
  • Step 1: Understand that a 50% increase means if Product A sold 100 units in Q1, it sold 150 units in Q2.
  • Step 2: Calculate the sales in Q2. If Q1 sales were 100 units, then Q2 sales are 100 + (50% of 100) = 150 units.
  • Step 3: Now, we need to find out what happens in Q3. The problem states that sales decreased by 20% in Q3.
  • Step 4: Calculate 20% of Q2 sales (150 units). 20% of 150 is 30 units.
  • Step 5: Subtract the decrease from Q2 sales to find Q3 sales. So, Q3 sales = 150 - 30 = 120 units.
  • Step 6: Now, we need to find the percentage change from Q2 to Q3. The change is from 150 units to 120 units.
  • Step 7: Calculate the decrease in sales: 150 - 120 = 30 units.
  • Step 8: To find the percentage change, divide the decrease by the original amount (Q2 sales) and multiply by 100: (30 / 150) * 100 = 20%.
  • Step 9: Since the sales decreased, we say there was a 20% decrease from Q2 to Q3.
  • Percentage Change – Understanding how to calculate percentage increases and decreases based on a changing base value.
  • Base Value Adjustment – Recognizing that percentage changes are relative to the most recent value, not the original value.
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