The average sale of cars by a dealer per day in the month of March, other than on Saturdays and Sundays, is 184. The average sale of cars per day on Sundays is 200. 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 193?
227
March has 31 days. If the first Saturday is on the 3rd, the Saturdays are 3, 10, 17, 24 and 31 March (5 days) and the Sundays are 4, 11, 18 and 25 March (4 days), leaving 31 – 5 – 4 = 22 other days.
Total sale in the month = 193 × 31 = 5983 cars.
Sale on the other days = 184 × 22 = 4048 cars and on Sundays = 200 × 4 = 800 cars, so the Saturdays account for 5983 – 4048 – 800 = 1135 cars.
Per-day sale on Saturdays = \(\frac{1135}{5} = 227\).
Check: 22 × 184 + 4 × 200 + 5 × 227 = 4048 + 800 + 1135 = 5983, and \(\frac{5983}{31} = 193\), matching the per-day figure for the whole month.
Hence, 227.
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