Free Practice Question
PS · Problem Solving
655-705
Arithmetic
Emily is shopping for clothes at a store where all items have a 25% discount. There is also a special deal that states 'Buy 3 and get 50% off', which means the discount increases to 50% on each item if she buys three. If Emily has already bought two items priced at $50 and $30, what is the maximum price she can pay for the third item while keeping her total expenditure the same as what she spent on the first two items?
Answer Choices
Correct answer marked belowA
$10
B
$16
C
$24
$40
Correct
E
$50
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Explanation
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Official Explanation
Official
When an item is discounted by 50%, the customer pays 50% (or 0.50) of its original price. Conversely, with a 25% discount, the customer pays 75% (or 0.75) of the original price. Letting y represent the regular price of the third item, we can set up the…
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What it tests
Your fluency with the order of operations, fractions, decimals, and basic number sense — the foundation every quant question leans on.
Common trap
Applying the order of operations out of sequence or rounding intermediate values before the final step.
Details
Difficulty
655-705
Type
PS
Category