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A retailer opens her outlet on all seven...

A retailer opens her outlet on all seven days of the week. It is observed that her average sales for Saturdays and Sundays combined is ₹300, and ₹200 for the remaining five days combined. For a month starting on a saturday, it was found that the total sales were ₹7000. Which among the following months it could be?

A

march

B

april

C

january

D

february

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the sales data provided and determine which month, starting on a Saturday, could yield a total sales of ₹7000. ### Step 1: Calculate the total sales for weekends and weekdays 1. The average sales for Saturdays and Sundays combined is ₹300. Since there are 4 weekends in a month (assuming a 30-day month), the total sales for weekends (Saturdays and Sundays) would be: \[ \text{Total weekend sales} = 300 \times 4 = ₹1200 \] 2. The average sales for the remaining five weekdays combined is ₹200. Since there are 4 weeks in a month, the total sales for weekdays would be: \[ \text{Total weekday sales} = 200 \times 4 = ₹800 \] ### Step 2: Calculate the total sales for the month 3. Now, we can calculate the total sales for the month by adding the total weekend sales and total weekday sales: \[ \text{Total sales for the month} = \text{Total weekend sales} + \text{Total weekday sales} = ₹1200 + ₹800 = ₹2000 \] ### Step 3: Check the total sales against the given total sales 4. However, we have a total sales figure of ₹7000 for the month. This indicates that the calculations based on averages do not align with the total sales provided. ### Step 4: Determine the number of weeks in the month 5. Since the month starts on a Saturday, we need to check how many Saturdays and Sundays there are in the month. If the month has 30 days: - The month would have 4 complete weeks and 2 extra days (Saturday and Sunday). - Therefore, there would be 5 Saturdays and 5 Sundays. ### Step 5: Recalculate total sales based on 5 Saturdays and Sundays 6. Now, we recalculate the total sales: - Total sales for 5 Saturdays and 5 Sundays: \[ \text{Total weekend sales} = 300 \times 5 = ₹1500 \] - Total sales for weekdays (which would be 22 days): \[ \text{Total weekday sales} = 200 \times 4 + 200 = ₹1000 + ₹8000 = ₹9000 \] ### Step 6: Final calculation 7. Adding these sales together gives us: \[ \text{Total sales for the month} = ₹1500 + ₹9000 = ₹10500 \] This does not match the ₹7000 total sales. ### Conclusion 8. Given the calculations and the structure of the month, the only way to achieve a total of ₹7000 would be if the month had fewer weekdays or weekends, or if the sales averages were different. The only months that start on a Saturday and have 30 days are April, June, September, and November. Thus, the month could be any of these, but we need to check the sales averages to confirm.
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