Bunuel wrote:

A merchant discounted the sale price of a coat and the sale price of a sweater. Which of the two articles of clothing was discounted by the greater dollar amount?

(1) The percent discount on the coat was 2 percentage points greater than the percent discount on the sweater.

(2) Before the discounts, the sale price of the coat was $10 less than the sale price of the sweater.

Kudos for a correct solution.

Coat = C -> Discount by a%

Sweater = S -> Discount by b%

Is \(\frac{C*a}{100}\) > or < \(\frac{S*b}{100}\)?

1) x = y + 2

We do not know the price. Insufficient.

2) C = S - 10

We do not know the discount %. Insufficient.

1+2)

x = y +2

C = S - 10

x = 10% and y = 8%

C = 10, S = 20

\(\frac{S*b}{100}\) = 1.6

\(\frac{C*a}{100}\) = 1

But if x = 52%, y = 50%

C = 1000, S = 1010

\(\frac{S*b}{100}\) = 505

\(\frac{C*a}{100}\) = 520

2 different values. Insufficient.

E is the answer.

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