Effect of an annual raise on monthly per-person average: In a family of 5 members, the average monthly income per person is ₹1000. If one person's income increases by ₹12000 per year, what is the new monthly average income per person for the family?

Difficulty: Easy

Correct Answer: ₹ 1200

Explanation:


Introduction / Context:
The question converts an annual increment to a monthly figure and distributes it across all family members to find the new per-person monthly average.


Given Data / Assumptions:

  • Members = 5
  • Current per-person monthly average = ₹1000
  • One person's annual increase = ₹12000


Concept / Approach:
₹12000 per year equals ₹1000 per month. This increases the family's total monthly income by ₹1000; divide by 5 to get the per-person increase.


Step-by-Step Solution:
Annual increase = ₹12000 → Monthly increase = ₹12000 / 12 = ₹1000Per-person monthly increment = ₹1000 / 5 = ₹200New per-person monthly average = ₹1000 + ₹200 = ₹1200


Verification / Alternative check:
Old family monthly total = ₹1000 * 5 = ₹5000. New total = ₹6000. New per-person = ₹6000 / 5 = ₹1200.


Why Other Options Are Wrong:
₹1600, ₹2000, ₹3400, ₹1100 are not consistent with the increment distribution across 5 people.


Common Pitfalls:
Forgetting to convert annual to monthly before averaging; distributing the increment to just one person when asked for per-person average.


Final Answer:
₹ 1200

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