The average sale of cars by a dealer per day in the month of March, other than on Saturdays and Sundays, is 191. The average sale of cars per day on Sundays is 160. 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 187?
191
March has 31 days. If the first Saturday is on 3rd March, the Saturdays are 3, 10, 17, 24 and 31 (5 days) and the Sundays are 4, 11, 18 and 25 (4 days).
So the remaining days (other than Saturdays and Sundays) = 31 – 5 – 4 = 22 days.
Total sale for the month = 187 × 31 = 5797 cars. Sale on the 22 other days = 191 × 22 = 4202 cars, and sale on Sundays = 160 × 4 = 640 cars.
Sale on the 5 Saturdays = 5797 – 4202 – 640 = 955 cars, so the average per Saturday = \(\frac{955}{5} = 191\).
Check: 4202 + 640 + 5 × 191 = 4202 + 640 + 955 = 5797, and 5797 ÷ 31 = 187, which is the given average for the whole month.
Hence, 191.
Similar Questions
The average number of cars sold per day by a dealer during the month of March, excluding Saturdays and Sundays, is 168. The average number of cars sold per day on Sundays is 119. If the first Saturday falls on 3rd March and the average number of cars sold per day during the entire month is 177, what is the average number of cars sold per day on Saturdays?
The mean of 12 numbers is 18. If one number 30 is replaced by 6, find the new mean.
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?
The arithmetic mean of 21 numbers is 48. The mean of the first 10 numbers is 49 and the mean of the last 10 numbers is 45. Find the 11th number.
The average sale of cars by a dealer per day in the month of March, other than on Saturdays and Sundays, is 163. The average sale of cars per day on Sundays is 125. 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 171?
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 116. 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 174?
A school organised a science exhibition where projects were evaluated out of 50 marks. The average score of Physics projects was 42 and that of Computer Science projects was 46. If the overall average score of all 40 projects was 44.5, find the number of Physics projects presented in the exhibition.
The average sale of cars by a dealer per day in the month of March, other than on Saturdays and Sundays, is 177. The average sale of cars per day on Sundays is 151. 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 148?
The average sale of cars by a dealer per day in the month of March, other than on Saturdays and Sundays, is 156. The average sale of cars per day on Sundays is 167. 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 150?
The average sale of cars by a dealer per day in the month of March, other than on Saturdays and Sundays, is 136. The average sale of cars per day on Sundays is 138. 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 199?
Important Questions from Average
Average of 40 numbers is 71, if the number 100 replaced by 140, then average is increased by
The captain of a football team of 11 members is 28 years old and the goalkeeper is 4 years older than him. If the ages of these two are removed, then the average age of the remaining players is two years less than the average age of the whole team. What is the average age of the team?
There are two Classes A and B having 25 and 30 students respectively. In Class-A the highest score is 21 and lowest score is 17. In Class-B the highest score is 30 and lowest score is 22. Four students are shifted from Class-A to Class-B.
Consider the following statements:
1. The average score of Class-B will definitely decrease.
2. The average score of Class-A will definitely increase.
Which of the above statements is/are correct?
The average weight of A, B, Cis 40 kg, the average weight of B, D, Eis 42 kg and the weight of Fis equal to that of B. What is the average weight of A, B, C, D, Eand F?
A cow costs more than 4 goats but less than 5 goats. If a goat costs between Rs. 600 and Rs. 800, which of the following is a most valid conclusion?
