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Let X be the original price

.05X = first discount

new price is X-.05X

.20(X-.05X) = 2nd discount

new price is X -.05X - .20(X-.05X)

new price = X - .05X -.20X + .01X = X - .24X

equiv discount = .24 = 24%

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Q: What is the equivalent disscount of two successive discount of 5 percent and 20 percent?
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