During one day, a door-to-door salesman sold three fourths

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AAPL: Moderator; Posts: 2599; Joined: Sun Oct 29, 2017 2:08 pm; Followed by:2 members

During one day, a door-to-door salesman sold three fourths

by AAPL » Mon Apr 30, 2018 5:30 am

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During one day, a door-to-door brick salesman sold three-fourths of his bricks for $0.25 each. If he had 150 bricks left at the end of the day, how much money did he collect for brick sales that day?

A. $12.50
B. $37.50
C. $50.00
D. $112.50
E. $150.00

The OA is D.

3/4 is sold, 1/4 is left which is equal to 150. therefore he sold 450
money collected = 450*0.25 =112.5. Option D.

Has anyone another approach to solve this PS question? Regards!

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Source: Beat The GMAT — Problem Solving | Mon Apr 30, 2018 5:30 am

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by Brent@GMATPrepNow » Mon Apr 30, 2018 10:13 am

AAPL wrote:During one day, a door-to-door brick salesman sold three-fourths of his bricks for $0.25 each. If he had 150 bricks left at the end of the day, how much money did he collect for brick sales that day?

A. $12.50
B. $37.50
C. $50.00
D. $112.50
E. $150.00

If 3/4 of the bricks were SOLD, then the remaining bricks (1/4 of the bricks) were NOT SOLD.

If 150 = 1/4 of the bricks, then 450 = 3/4 of the bricks
In other words, the salesman sold 450 bricks
If 450 bricks were sold at $0.25, then the money collected = (450)($0.25) = $112.50

Answer: D

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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by [email protected] » Mon Apr 30, 2018 10:51 am

Hi AAPL,

We're told that a brick salesman sold 3/4 of his bricks for $0.25 each and that he had 150 bricks left at the end of the day. We're asked for the amount of money that he collected for brick sales that day.

Most Test Takers will calculate the number of bricks sold and then multiply by $0.25 - which is a logical way to approach the prompt. There are other ways to get to the correct answer though. We know that the 150 bricks represent 1/4 of the total bricks. THOSE 150 bricks, if sold, would have generated (150)($0.25) = $37.50. Three times that number were sold though (since 3/4 is '3 times' 1/4), so the revenue from the sold bricks is (3)($37.50) = $112.50. Based on how 'spread out' the Answers are, you don't even have to complete that entire calculation - since (3)($30) = $90, we know the total will be a bit higher than that.

Final Answer: D

GMAT assassins aren't born, they're made,
Rich

Contact Rich at [email protected]

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Jeff@TargetTestPrep: GMAT Instructor; Posts: 1462; Joined: Thu Apr 09, 2015 9:34 am; Location: New York, NY; Thanked: 39 times; Followed by:22 members

by Jeff@TargetTestPrep » Tue May 01, 2018 9:27 am

AAPL wrote:During one day, a door-to-door brick salesman sold three-fourths of his bricks for $0.25 each. If he had 150 bricks left at the end of the day, how much money did he collect for brick sales that day?

A. $12.50
B. $37.50
C. $50.00
D. $112.50
E. $150.00

We see that 150 bricks he had left at the end of the day must be 1/4 of all the bricks he had at the beginning of the day. Thus he had 150 x 4 = 600 bricks at the beginning of the day, and, during the day, he sold 3/4 x 600 = 450 bricks. Since each brick is $0.25, he sold a total of 450 x 0.25 = $112.50 worth of bricks.

Answer: D

Jeffrey Miller
Head of GMAT Instruction
[email protected]