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Register now and save up to $200 Available with Beat the GMAT members only code ## A merchant discounted the sale price of a coat and the sale This topic has 1 expert reply and 0 member replies jjjinapinch Senior | Next Rank: 100 Posts Joined 24 Jul 2017 Posted: 83 messages #### A merchant discounted the sale price of a coat and the sale Mon Aug 07, 2017 8:54 am 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.

Official Guide question

### GMAT/MBA Expert

Jay@ManhattanReview GMAT Instructor
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Mon Aug 07, 2017 8:49 pm
jjjinapinch 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. Official Guide question Answer: E We have to determine which of the two articles is discounted more than the other. Statement 1: We do not have any information about the prices of the articles. Insufficient. Statement 2: We do not have any information about the discount rates of the articles. Insufficient. Statement 1 & 2: Say the price of the sweater =$100, thus the price of coat = 100 - 10 = $90. Let's take two cases. 1. Case 1: Say discount rate on sweater = 2%, thus, the discount rate on coat = 2 + 2 = 4%. Thus, the discount on sweater = 2% of 100 =$2;
the discount on coat = 4% of 90 = $3.60 >$2.

1. Case 2: Say discount rate on sweater = 23%, thus, the discount rate on coat = 23 + 2 = 25%.

Thus,
the discount on sweater = 23% of 100 = $23; the discount on coat = 25% of 90 =$22.50 < 23.

Hope this helps!

-Jay
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