Final answer:
To find the price at which the shopkeeper purchased each tumbler, we can calculate the cost price using the given loss percentage and the remaining tumblers' selling price.
Step-by-step explanation:
To find the price at which the shopkeeper purchased each tumbler, we need to consider the cost price and the loss percentage.
Let's assume the cost price of each tumbler is 'x' rupees.
The total cost price of the 1000 tumblers is 1000x rupees.
Since the shopkeeper made a loss of 5.5%, the selling price of the remaining tumblers is 94.5% of the cost price.
Equating the selling price to 94.5% of the total cost price, we have:
94.5% of 1000x = 1000x - 100x
0.945x = 900x
x = 900x / 0.945
x = 950
Therefore, the shopkeeper purchased each tumbler at a price of Rs. 950.