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A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with
Question

A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:

A.

250

B.

276

C.

280

D.

285

Correct option is D

Given:

Average on Sundays = 510 visitors

Average on other days = 240 visitors

Month has 30 days and starts on a Sunday

Formula Used:

Average per day = Total visitors in month30 \frac{\text{Total visitors in month}}{30}​​

Solution:

In a 30-day month starting on Sunday, the number of Sundays = 5 (every 7th day starting from the 1st)

So:

Sundays = 5 days

Other days = 30 − 5 = 25 days

Visitors on Sundays = 5 × 510 = 2550

Visitors on other days = 25 × 240 = 6000

Total visitors = 2550 + 6000 = 8550

Average per day =855030 \frac{8550}{30}​ = 285

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