Final answer:
The number of items manufactured and sold is represented by the variable 'x' in the given cost price formula Rs x×5,500, which implies that 'x' equals the number of items.
Step-by-step explanation:
The question asks to find the number of items manufactured and sold when the cost price of x items is Rs x×5,500. The cost price of an item is given as Rs 5,500 each. The formula to calculate the cost price of multiple items is to multiply the number of items (x) by the cost price per item (Rs 5,500). Therefore, the cost price of x items is given by this formula itself: number of items (x) × cost per item (Rs 5,500) = total cost price.
In this case, the total cost price is directly given as Rs x×5,500, which implies that the formula for total cost price is the same as the total cost price given. This means that the variable for number of items, which is x, is exactly what we are looking for; hence the number of items is simply x.
To find the number of items, we need to equate the cost price of the items with the given expression. According to the question, the cost price of x items is Rs x x 5,500. This can be written as x x 5,500 = x(5,500). Since the cost price is given as Rs x x 5,500, the number of items is x. Therefore, the number of items is equal to x.