Of the total number of copies of Magazine $X$ sold last week, $40$ percent were sold at full price. What was the

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by M7MBA » Thu Nov 19, 2020 8:57 am

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Of the total number of copies of Magazine $X$ sold last week, $40$ percent were sold at full price. What was the total number of copies of the magazine sold last week?

(1) Last week, the full price for a copy of Magazine $X$ was $\$1.50$ and the total revenue from full-price sales was $\$112,500.$

(2) The total number of copies of Magazine $X$ sold last week at full price was $75,000.$

Answer: D

Source: Official Guide

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Source: Beat The GMAT — Data Sufficiency | Thu Nov 19, 2020 8:57 am

deloitte247: Legendary Member; Posts: 2214; Joined: Fri Mar 02, 2018 2:22 pmFollowed by: 5 members

Re: Of the total number of copies of Magazine $X$ sold last week, $40$ percent were sold at full price. What was the

by deloitte247 » Sat Nov 21, 2020 6:36 pm

Let the total copies of Magazine X = m
Total sold at full price = 40% of m
Target question: What was the total number of copies of the magazine sold last week?

Statement 1: Last week, the full price for a copy of Magazine X was $1.50 and the total revenue from full-price sales was $112,500
1 full price magazine = $1.5
Total revenue from 40% of m = $112500
Total copies sold at full price = 112500/1.5 = 75000
Therefore, if 40% = 75000 then,
$$60\%=\frac{60\%\cdot75000}{40}=112500$$
Total copies = 112500 + 75000 = 187,500, hence, statement 1 is SUFFICIENT.

Statement 2: The total number of copies of Magazine X sold last week at full price was $75000.
Therefore, if 40% = 75000 then,
$$60\%=\frac{60\%\cdot75000}{40}=112500$$
Total copies = 112500 + 75000 = 187,500, hence, statement 2 is also SUFFICIENT.

Therefore, since statement is sufficient alone, option D is correct.

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