The average sale of cars by a dealer per day in the month of March, other than on Saturdays and Sundays, is 125. The average sale of cars per day on Sundays is 100. What is the average sale of cars per day on Saturdays, if the first Saturday is on the 3rd of March and average sale of cars per day for the whole month is 175?
455
March has 31 days. With the first Saturday on the 3rd, Saturdays fall on 3, 10, 17, 24, 31 (5 days) and Sundays on 4, 11, 18, 25 (4 days); the other 31 – 9 = 22 days are weekdays.
Total sale in the month = 175 × 31 = 5425 cars. Sale on the 22 other days = 125 × 22 = 2750; sale on Sundays = 100 × 4 = 400.
Sale on Saturdays = 5425 – 2750 – 400 = 2275 cars, so the per-day figure on Saturdays = 2275 ÷ 5 = 455.
Check: 2750 + 400 + 455 × 5 = 2750 + 400 + 2275 = 5425, and 5425 ÷ 31 = 175, matching the whole-month figure.
Hence, 455.
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