Five salaries are Rs. 8000, Rs. 5000, Rs. 11000, Rs. 7000, and Rs. 9000 per month. What is the average monthly salary?

Difficulty: Easy

Correct Answer: Rs. 8000

Explanation:


Introduction / Context:
Average salary problems are straightforward applications of the arithmetic mean. Careful summation ensures accuracy when some values are above and some below the final average.


Given Data / Assumptions:

  • Salaries (per month): 8000, 5000, 11000, 7000, 9000 (in rupees)
  • Number of people: 5


Concept / Approach:
Average = (sum of all salaries) / 5. Adding in balanced pairs reduces addition mistakes.


Step-by-Step Solution:

Sum = 8000 + 5000 + 11000 + 7000 + 9000 Compute pairs: (8000 + 7000) = 15000; (5000 + 11000) = 16000; remaining 9000 Total sum = 15000 + 16000 + 9000 = 40000 Average = 40000 / 5 = Rs. 8000


Verification / Alternative check:
Check spread around 8000: values are 5000 (−3000), 7000 (−1000), 8000 (0), 9000 (+1000), 11000 (+3000). Offsets sum to zero, confirming 8000 is the mean.


Why Other Options Are Wrong:

  • Rs. 7000 and Rs. 9000: Too low/high relative to balanced offsets.
  • Rs. 8500: Not supported by the exact arithmetic; suggests rounding error.
  • None of these: A correct exact value exists.


Common Pitfalls:
Arithmetic slips when several terms require addition; forgetting to divide by the correct count of individuals.


Final Answer:
Rs. 8000

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