Salman, Ambani, and Dalmiya together have an average of 60 shirts. If each buys 6 more shirts, what is the new average number of shirts per person?

Difficulty: Easy

Correct Answer: 66

Explanation:

Introduction / Context:When each member of a group adds the same quantity, the group average increases by that quantity as well. This property saves time over recomputing totals from scratch.

Given Data / Assumptions:

  • Initial average shirts per person = 60
  • Three people
  • Each buys 6 more shirts

Concept / Approach:If everyone adds the same number x, the average increases by x. No need to know individual counts to find the new mean.

Step-by-Step Solution:

Initial average = 60 Increase per person = 6 New average = 60 + 6 = 66

Verification / Alternative check:Total initially = 60 * 3 = 180. Added total = 6 * 3 = 18. New total = 198. New average = 198 / 3 = 66. Confirms the shortcut.

Why Other Options Are Wrong:

  • 63 and 62: Do not reflect the full +6 change per person.
  • can't be determined: The rule permits determination without individual breakdowns.
  • None of these: A correct exact value exists (66).

Common Pitfalls:Adding 6 only once to the total instead of per person, which would understate the increase in the mean.

Final Answer:66

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