Jay is selling his shoes and making a 15% gain from it. His friend wants to buy them so he offers him a 5% discount. At what price did Jay originally buy his shoes, if he sold it to his friend for $218.50?
A
$208.10
B
$198.50
C
$210.00
D
$200.00
E
$196.65
Correct answer: D
Explanation
If the shoes were sold at $218.50 after a 5% discount, they were originally 218.50/0.95 = 230
If at that price, Jay was making 15% gains, the original price of the shoes was 230/1.15 = 200
Source: Algebra word problems from the AQuA-RAT dataset (Ling et al., 2017), published by Google DeepMind under the Apache License 2.0.
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AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.
id aqua_rat:565933f521c96e53e351472f41540d27
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