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A hall has 800 seats and a show is called houseful only if at least 90% of the seats are occupied. Tickets were sold for 750 seats, but 12% of the ticket-holders did not turn up. By what per cent of the hall's seats did the attendance fall short of the houseful mark?

Competition practicePercentage
  • A7.5%
  • B8%
  • C12%
  • D82.5%

Step-by-Step Solution

The houseful mark is 90% of 800 = 720. Those present = , so the shortfall is 60 seats. The phrase 'of the hall's seats' fixes 800 as the base: 60/800 = 0.075 = 7.5%. 8% is 60/750, measured against the tickets sold. 12% is the no-show rate, which is a share of the ticket-holders, not of the seats. 82.5% is 660/800, the attendance itself rather than the shortfall.
Answer: A) 7.5%

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