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At a clearance sale, Lan bought a $10 hat at a 10% discount, a $20

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At a clearance sale, Lan bought a $10 hat at a 10% discount, a $20 shirt at a 20% discount, and a $40 pair of pants at a 40% discount. If Pauline bought the same hat, shirt and pants all at a uniform discount, and ended up paying the same amount of money as Lan, what percent discount did Pauline receive?

(A) 10 %
(B) 20 %
(C) 30 %
(D) 40 %
(E) 50 %

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