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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 Default Avatar
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Posted:
83 messages

A merchant discounted the sale price of a coat and the sale

Post Mon Aug 07, 2017 8:54 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    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

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    Post 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.

    The answer is coat.

    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.

    The answer is sweater. No unique answer. Insufficient.

    The correct answer: E

    Hope this helps!

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