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In the problem provided, you are asked to determine the percentage increase in the number of mobiles that need to be sold in Month 6 compared to the number sold in Month 5, in order to meet a target.

Here’s a step-by-step breakdown:

1. **Calculate the total number of mobiles sold in the first five months:**
   \[
   \text{Total mobiles sold} = 1234 + 1545 + 1678 + 1129 + 987 = 6573
   \]

2. **Determine how many mobiles need to be sold in Month 6 to meet the target:**
   \[
   \text{Mobiles needed in Month 6} = 8000 - 6573 = 1427
   \]
   
   So, 1427 mobiles need to be sold in Month 6.

3. **Calculate the percentage increase in sales from Month 5 to Month 6:**
   - The number of mobiles sold in Month 5 is **987**.
   - The increase required is from **987** (in Month 5) to **1427** (in Month 6).
   - The difference in sales is:
     \[
     1427 - 987 = 440
     \]
   - To find the percentage increase, use the formula:
     \[
     \text{Percentage Increase} = \left(\frac{440}{987}\right) \times 100 \approx 44.6\%
     \]
   
The answer divides by 987 because it is comparing the increase in sales (440) to the original sales figure in Month 5 (987) to calculate the percentage increase. This division tells you how much greater the Month 6 sales need to be relative to the Month 5 sales.

Would you like any further details or have any questions?

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**Here are some related questions:**

1. How would the percentage change if Month 5 had sold more units?
2. What if the target was 8500 instead of 8000?
3. How do you calculate the total percentage increase over the first five months?
4. What is the formula for calculating the percentage increase between two values?
5. If Month 4 had a different value, how would that affect the total number of units required in Month 6?
6. How would you approach this problem if the target was expressed as an average monthly sales target?
7. Can this method be used for other types of growth analysis (e.g., revenue, population)?
8. What if the increase had to be 100%? What would Month 6 sales need to be?

**Tip:** Remember that percentage increase is always calculated by comparing the change to the original amount (baseline).

Learn how to calculate the percentage increase in sales using a step-by-step guide. This problem involves determining the percentage increase in mobile sales from Month 5 to Month 6 to meet a target. It covers key concepts such as percentage increase formulas and sales analysis. Suitable for Grades 9-12 students and those interested in business analysis.

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