To determine the percent discount that Nayeli's loyalty card provides, we start by noting that the price after applying the loyalty discount is obtained by multiplying the original price by 0.88.
This means that Nayeli pays 88% of the original price. To find the discount percentage, we need to calculate how much is being discounted from the original price.
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Start with the percentage of the original price that Nayeli pays: \[ 100% - 88% = 12% \]
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Therefore, the discount provided by the loyalty card is: \[ \boxed{12%} \]
So Nayeli's loyalty card gives a 12% discount.