A picture hall has seats for 820 persons. At a recent film show, one usher guessed it was 3/4 full, another that it was 2/3 full. The ticket office reported 648 sales. Which usher (first or second) made the better guess?

Question

Shiksha Nation · Accepted Answer

Total number of seats = 820Number of ticket sold = 648For first usher = 3/4 × 648 = 3 × 162 = 486For second usher = 2/3 × 648 = 2 × 216 = 432Since 432 < 486Hence, the first usher guessed better.

A picture hall has seats for 820 persons. At a recent film show, one usher guessed it was 3/4 full, another that it was 2/3 full. The ticket office reported 648 sales. Which usher (first or second) made the better guess?

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