Study the table showing the imports (in crores of Rs) of three companies (Nokia, Oppo, and...
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Study the table showing the imports (in crores of Rs) of three companies (Nokia, Oppo, and Vivo) over the period 2005–2010:
| Year | Nokia (Rs Cr) | Oppo (Rs Cr) | Vivo (Rs Cr) |
|---|---|---|---|
| 2005 | 25 | 40 | 30 |
| 2006 | 40 | 55 | 60 |
| 2007 | 100 | 60 | 80 |
| 2008 | 120 | 100 | 105 |
| 2009 | 50 | 100 | 120 |
| 2010 | 70 | 90 | 110 |
In how many of the given years were the imports for Vivo more than the average annual imports of Vivo over the given years?
Show answer & explanation
The average annual imports for Vivo over 2005–2010 is (30 + 60 + 80 + 105 + 120 + 110) / 6 = 505 / 6 ≈ 84.17 crores Rs. Comparing each year: 2005 (30 < 84.17), 2006 (60 < 84.17), 2007 (80 < 84.17), 2008 (105 > 84.17), 2009 (120 > 84.17), 2010 (110 > 84.17). Vivo's imports exceeded the average in 4 years: 2008, 2009, and 2010.
Step-by-step Derivation:
Step 1: Calculate total Vivo imports = 30 + 60 + 80 + 105 + 120 + 110 = 505 crores Rs.
Step 2: Calculate average = 505 / 6 = 84.167 crores Rs.
Step 3: Compare each year's imports to average:
- 2005: 30 < 84.167 ✗
- 2006: 60 < 84.167 ✗
- 2007: 80 < 84.167 ✗
- 2008: 105 > 84.167 ✓
- 2009: 120 > 84.167 ✓
- 2010: 110 > 84.167 ✓
Step 4: Count years where imports > average = 3 years (2008, 2009, 2010).
CORRECTION: Upon rechecking, the count is 3, not 4. The correct option should be B (3).