Rajesh, Bahadur, and Amir earn an average income of Rs. 8000 per month. Their average monthly expenditure is Rs. 5000. What is their average monthly savings?

Difficulty: Easy

Correct Answer: Rs. 3000

Explanation:


Introduction / Context:
Average savings can be computed by subtracting average expenditure from average income, or by using totals. Both routes yield the same result because subtraction distributes over averages for equally sized groups.


Given Data / Assumptions:

  • Average income per person = Rs. 8000
  • Average expenditure per person = Rs. 5000
  • Three people in total


Concept / Approach:
Average savings = average income - average expenditure. Alternatively, compute total income and total expenditure, then subtract and divide by the count.


Step-by-Step Solution:

Method 1 (Averages): 8000 - 5000 = Rs. 3000 Method 2 (Totals): Total income = 8000 * 3 = 24000 Total expenditure = 5000 * 3 = 15000 Total savings = 24000 - 15000 = 9000; Average savings = 9000 / 3 = Rs. 3000


Verification / Alternative check:
Both methods agree exactly, confirming arithmetic consistency.


Why Other Options Are Wrong:

  • Rs. 5000 and Rs. 2500: Do not match the computed difference.
  • Rs. 9000: This is the total savings, not per-person average.
  • None of these: A correct option exists (Rs. 3000).


Common Pitfalls:
Confusing total and average amounts or mixing per-person figures with totals across the group.


Final Answer:
Rs. 3000

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