The average number of visitors to a shopping mall in October is 827. The average number of visitors on Saturday is 1254 and the average number of visitors on Sundays is 1534. What is the average number of visitors per day on the other days of the month if the month starts with a Friday?

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  1. 557
  2. 581
  3. 617
  4. 529

Answer (Detailed Solution Below)

Option 1 : 557
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Detailed Solution

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Given:

Oct avg: 827,

Sat avg: 1254,

Sun avg: 1534,

Formula used:

Total number of visitors in October = Average number of visitors per day × Number of days in October

Total number of visitors on other days = Total number of visitors in October - Total number of visitors on Saturdays - Total number of visitors on Sundays

Calculations:

Oct starts Fri,

Then there are 5 Saturdays and 5 Sundays.

Oct total: 827 × 31 = 25637

Sat total: 1254 × 5 = 6270

Sun total: 1534 × 5 = 7670

Weekend total:

6270 + 7670 = 13940

Other days total: 25637 - 13940 = 11697

Other days count: 31 - 10 = 21

Other days avg:

⇒ 11697 / 21 = 557

∴ Other days avg: 557

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