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?

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