ShmoopTube

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Here’s your shmoop du jour, brought to you by Sweaters.

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A word of warning: don’t ever wear them while herding sheep.

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A sweater is on sale for 25% off the original price. Beth has a coupon for an additional

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10% off the sale price. What is the total discount (as a percent)?

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Okay, so even though this problem doesn’t give us the original price of the sweater,

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we have enough information to find the answer.

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25% off means that Beth is paying 75% of the original price.

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10% off the sale price means that Beth is paying 90% of that 75% of the original price.

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All we have to do is multiply the decimal forms of those percents.

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And we get 0.9 times 0.75 is 0.675. Or 67.5% of the original price.

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The original price is 100%.

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So we can subtract 100% by the percentage Beth is actually paying 67.5%...

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to get the percent discount.

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Got that? 100% - 67.5% equals 32.5%...

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So the percent discount is 32.5% and we're done.

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