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?

Difficulty: Medium

Correct Answer: 70%

Explanation:


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:

Women above ₹50000 = 36 − 24 = 12.Percentage of women above = 12 / 40 * 100% = 30%.Percentage of women below = 100% − 30% = 70%.


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%

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