In each year, consider the months in which sales were strictly greater than that year's average monthly sales. What is the ratio of the combined sales in these months across 2025 and 2026 to the combined sales in all the remaining months?
Answer and solution
Correct answer: A
Solution
Answer: A — 109:49
1. Read the numbers on the image, not the sector angles: the equal-sized sectors are schematic, not proportional sales shares. The 2025 months Jan–Dec are 120,140,160,50,70,90,80,90,80,150,280,170.
2. The 2026 months Jan–Dec are 250,180,200,100,80,90,120,150,10,150,200,150. Missing values follow from quarter totals: May 2025=210−50−90=70; November 2025=600−150−170=280; December 2026=500−150−200=150.
3. Quarter totals: 2025=420,210,250,600 (annual 1480); 2026=630,270,280,500 (annual 1680). Q 3 2026=120+150+10=280.
1. The yearly monthly averages are 1480/12=123⅓ for 2025 and 1680/12=140 for 2026. Use strict greater-than separately for each year.
2. 2025 qualifying months: February 140, March 160, October 150, November 280, December 170. Sum=900.
3. 2026 qualifying months: January 250, February 180, March 200, August 150, October 150, November 200, December 150. Sum=1280.
4. Above-average combined sales=900+1280=2180. All other months contribute 1480+1680−2180=980.
5. Required ratio=2180:980=109:49, option A. The numerator combines qualifying sales, while the denominator combines all remaining sales.
Verification: 5. Required ratio=2180:980=109:49, option A. The numerator combines qualifying sales, while the denominator combines all remaining sales.
1. Read the numbers on the image, not the sector angles: the equal-sized sectors are schematic, not proportional sales shares. The 2025 months Jan–Dec are 120,140,160,50,70,90,80,90,80,150,280,170.
2. The 2026 months Jan–Dec are 250,180,200,100,80,90,120,150,10,150,200,150. Missing values follow from quarter totals: May 2025=210−50−90=70; November 2025=600−150−170=280; December 2026=500−150−200=150.
3. Quarter totals: 2025=420,210,250,600 (annual 1480); 2026=630,270,280,500 (annual 1680). Q 3 2026=120+150+10=280.
1. The yearly monthly averages are 1480/12=123⅓ for 2025 and 1680/12=140 for 2026. Use strict greater-than separately for each year.
2. 2025 qualifying months: February 140, March 160, October 150, November 280, December 170. Sum=900.
3. 2026 qualifying months: January 250, February 180, March 200, August 150, October 150, November 200, December 150. Sum=1280.
4. Above-average combined sales=900+1280=2180. All other months contribute 1480+1680−2180=980.
5. Required ratio=2180:980=109:49, option A. The numerator combines qualifying sales, while the denominator combines all remaining sales.
G Strategy shortcut
Method: Thresholds: 1480/12=123⅓ and 1680/12=140. Above-threshold sales sum to 2180; take the complement 3160−2180=980. Ratio=109:49.Verification: 5. Required ratio=2180:980=109:49, option A. The numerator combines qualifying sales, while the denominator combines all remaining sales.
G Strategy: Method: Thresholds: 1480/12=123⅓ and 1680/12=140. Above-threshold sales sum to 2180; take the complement 3160−2180=980. Ratio=109:49. Verification: 5. Required ratio=2180:980=109:49, option A. The numerator combines qualifying sales, while the denominator combines all remaining sales.