In a company, 60% of employees are men. Of the men, 40% earn more than ₹50000 per year. If 36% of all employees earn more than ₹50000 per year, what percentage of women earn less than ₹50000 per year?

Introduction / Context: Partition the population into men and women, then use the given proportion earning above ₹50000 to deduce the women’s share above that threshold. Finally, convert to the share earning below ₹50000.

Given Data / Assumptions:

• Total employees = 100 units for convenience.
• Men = 60; Women = 40.
• Men above ₹50000 = 40% of 60 = 24.
• Total above ₹50000 = 36 ⇒ Women above ₹50000 = 12.

Concept / Approach: The overall percentage above ₹50000 equals the sum of men-above and women-above (as percentages of total). Subtract to find women-above and convert to a percentage of the women subgroup. Then subtract from 100% to get women-below.

Step-by-Step Solution:

Verification / Alternative check: Check totals above: men 24 + women 12 = 36% overall, matching the given.

Why Other Options Are Wrong: 60% or 40% result from misplacing the base (total vs. women subgroup); 30% is women-above, not women-below.

Common Pitfalls: Using total employees as the denominator when computing the within-women percentage.

Final Answer: 70%