A merchandise feedback online portal accords...

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BTGmoderatorLU: Moderator; Posts: 2544; Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members

by BTGmoderatorLU » Sat Jan 20, 2018 7:45 am

A merchandise feedback a portal accords 'rating' to a product by recording the percentage of customers who have reported their views as either 'satisfied' or 'unsatisfied' only. The portal rounds off the exact percentage value calculated to the closest integral value. If the percentage of unsatisfied customers are recorded by the portal is 57%, what is the LEAST possible number of people that could have reported their views as 'satisfied'?

A. 2
B. 3
C. 12
D. 43
E. 57

The OA is B.

I'm confused with this PS question. Experts, any suggestion about how to solve it? Thanks in advance.

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Source: Beat The GMAT — Problem Solving | Sat Jan 20, 2018 7:45 am

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by [email protected] » Sat Jan 20, 2018 1:19 pm

Hi LUANDATO,

We're told that A feedback portal accords a 'rating' to a product by recording the percentage of customers who have reported their views as either 'satisfied' or 'unsatisfied' only. The portal rounds off the exact percentage value calculated to the closest INTEGER percent. If the percentage of unsatisfied customers are recorded by the portal is 57%, we're asked what the LEAST possible number of people that could have reported their views as 'satisfied.' This question can be solved with knowledge of fractions.

To start, you would find it helpful (for the entire Quant section) to have certain fraction-to-decimal conversions memorized. Knowing that 1/7 = approximately 14.2% would make this question a LOT easier to deal with. Since...

1/7 = a little more than 14.2%
4/7 = a little more than 56.8% (rounded to 57%)
3/7 = about 43%

Thus, with 7 'voters', 4 voting 'satisfied' and 3 voting 'unsatisfied', we have the exact situation described... and the answer would be 3. The issue then is whether the number 2 could "fit" what we're told or not.

Can 2 divided by some integer equal about 43%...?
2/4 = 50%
2/5 = 40%
2/6 = 33.33333%

We can't get to a fraction that would round to 43%, so 2 cannot be the answer.

Final Answer: B

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 amFollowed by: 22 members; Location: New York, NY; Thanked: 39 times

by Jeff@TargetTestPrep » Fri Jan 26, 2018 12:29 pm

LUANDATO wrote:A merchandise feedback a portal accords 'rating' to a product by recording the percentage of customers who have reported their views as either 'satisfied' or 'unsatisfied' only. The portal rounds off the exact percentage value calculated to the closest integral value. If the percentage of unsatisfied customers are recorded by the portal is 57%, what is the LEAST possible number of people that could have reported their views as 'satisfied'?

A. 2
B. 3
C. 12
D. 43
E. 57

Since unsatisfied customers = 57%, satisfied customers = 43%. The difference is 14%. Recall that 1/7 â‰ˆ 14%; thus, the least number of people surveyed is 7, with 4 being unsatisfied and 3 being satisfied. (Note: 4/7 = 0.57143 â‰ˆ 57% and 3/7 = 0.42857 â‰ˆ 43%.)

Answer: B

Jeffrey Miller
Head of GMAT Instruction
[email protected]

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

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GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Sat Jan 27, 2018 4:22 am

LUANDATO wrote:A merchandise feedback a portal accords 'rating' to a product by recording the percentage of customers who have reported their views as either 'satisfied' or 'unsatisfied' only. The portal rounds off the exact percentage value calculated to the closest integral value. If the percentage of unsatisfied customers are recorded by the portal is 57%, what is the LEAST possible number of people that could have reported their views as 'satisfied'?

A. 2
B. 3
C. 12
D. 43
E. 57

Since unsatisfied â‰ˆ 57%, satisfied â‰ˆ 43%.
The following ratio is implied:
(unsatisfied)/(satisfied) â‰ˆ 57/43 â‰ˆ 56/42 = 4/3.

The values in blue indicate that the least possible number of satisfied people = 3.

The correct answer is B.

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