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The selling price of 40 items is equal to the purchase price of 35 items. What is the percentage profit or loss?
Question

The selling price of 40 items is equal to the purchase price of 35 items. What is the percentage profit or loss?

A.

12½% loss

B.

13½% profit

C.

13½% loss

D.

12½% profit

Correct option is A

Given:
Selling price of 40 items = Cost price of 35 items
Formula Used:
Profit% = [(Selling Price - Cost Price) / Cost Price] × 100
Solution:
Let the cost price of 1 item be Rs. 1.
Therefore, Cost price of 35 items = Rs. 35, and Selling price of 40 items = Rs. 35.
So, Selling price of 1 item = Rs. 35 / 40 = Rs. 7/8.
Cost price of 1 item = Rs. 1 and Selling price of 1 item = Rs. 7/8.
Thus, there is a loss.
Loss = Cost Price - Selling Price = 1 - (7/8) = 1/8.
Loss percentage = (Loss / Cost Price) × 100 = (1/8) × 100 = 12.5%.
Therefore, there is a loss of 12.5%.


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