Free Practice Question
PS · Problem Solving
705-805
percent
An article, if sold at a discount of 30%, results in a loss of 35 dollars. However, there is a profit of 5 dollars if sold at a discount of 10%. What would be the profit or loss if it was sold without any discount?
Answer Choices
Correct answer marked belowA
10%
B
12.1%
C
13.5%
14.3%
Correct
E
16.6%
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Explanation
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Official Explanation
Official
Let the marked price (MP) = .
After a discount of 30%, the selling price (SP) = .
Loss = CP - SP = 35, so CP = ... (1)
After a discount of 10%, the SP = .
Profit = SP - CP = 5, so CP = ... (2)
Equating (1) and (2):
…
After a discount of 30%, the selling price (SP) = .
Loss = CP - SP = 35, so CP = ... (1)
After a discount of 10%, the SP = .
Profit = SP - CP = 5, so CP = ... (2)
Equating (1) and (2):
…
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What it tests
Your ability to apply GMAT math concepts to solve a multi-step problem quickly and accurately. At the 705-805 level, accuracy and speed both matter.
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Overcomplicating the setup — most GMAT problems reward a direct, organized approach over brute calculation.
Related GMAT Topic Guides
Quant
TopicGMAT Quantitative Reasoning
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Difficulty
705-805
Type
PS
Category