The information related to the sale (in rupees) of different items of a baker's shop in one day is given in the table.Items Ordinary bread Fruit bread Cakes and pastries Biscuits Others Sales (in rupees) 400 320 210 120 100 Customers 40 16 14 12 4
What would be the maximum amount of increase in sales for the baker, if all customers who bought any type of bread would ALSO have bought either Cakes and Pastries OR biscuits?
Calculating Maximum Sales Increase
The goal is to find the maximum potential increase in sales if customers who bought bread also purchased either cakes and pastries or biscuits.
Identify Bread Customers
First, determine the total number of customers who purchased any type of bread:
- Customers buying Ordinary bread: 40
- Customers buying Fruit bread: 16
- Total bread customers = 40 + 16 = 56
Calculate Potential Increase Scenarios
Now, calculate the potential sales increase if these 56 bread customers additionally bought either cakes and pastries or biscuits. We need to find the average sales per customer for these items.
- Cakes and Pastries:
- Sales: ₹210
- Customers: 14
- Average sale per customer = $ \frac{210}{14} = 15 $ rupees
- Potential increase = $ 56 \times 15 = 840 $ rupees
- Biscuits:
- Sales: ₹120
- Customers: 12
- Average sale per customer = $ \frac{120}{12} = 10 $ rupees
- Potential increase = $ 56 \times 10 = 560 $ rupees
Determine Maximum Increase
The question asks for the maximum possible increase. Compare the potential increases from the two scenarios:
- Maximum increase = $ \max(840 \text{ rupees}, 560 \text{ rupees}) $
- Maximum increase = 840 rupees
Therefore, the maximum amount of increase in sales would be ₹840.
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