What Profit Percentage is Made by Selling an Article at a Certain Price GMAT Problem Solving

Question: What profit percentage is made by selling an article at a certain price if by selling it at half that price there would be a loss of 10%?

1. 80%
2. 70%
3. 60%
4. 40%
5. 50%

“What profit percentage is made by selling an article at a certain price if by selling it at half that price there would be a loss of 10%?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

Answer:

Approach Solution 1:

Let price be 100
Price halfed loss of 10 percent so reduced price is 90
180 is the actual selling price. Profit of 80 percent

Correct option: A

Approach Solution (2):

10% = 1/10 = 9/10 = SP/CP
So, original SP = 18
Profit = [(18-9)/10] * 100 = 80%

Correct option: A

Approach Solution (3):

I assumed CP to be 100
And let the price at which it is regularly sold to be X
But in the loss sample, 100 – X/2 = 10
Profit = 180 – 100 = 80
Profit % = 80/100 = 80%

Correct option: A

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