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Greg's weekly salary is 187, which is 15 percent less than K
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03 Dec 2019, 02:19
03 Dec 2019, 02:19
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Greg's weekly salary is 187, which is 15 percent less than Karla's weekly salary. If Karla's weekly salary increases by 10 percent, by what percent must Greg's weekly salary increase in order to equal Karla's new weekly salary?
Give your answer to the nearest tenth of a percent.
Kudos for the right answer and explanation
Give your answer to the nearest tenth of a percent.
Show: :: OA
\(29.4\)
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Greg's weekly salary is 187, which is 15 percent less than K
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05 Dec 2019, 08:00
05 Dec 2019, 08:00
2
Carcass wrote:
Greg's weekly salary is 187, which is 15 percent less than Karla's weekly salary. If Karla's weekly salary increases by 10 percent, by what percent must Greg's weekly salary increase in order to equal Karla's new weekly salary?
Give your answer to the nearest tenth of a percent.
Kudos for the right answer and explanation
Give your answer to the nearest tenth of a percent.
Show: :: OA
\(29.4\)
Kudos for the right answer and explanation
Greg's weekly salary is 187, which is 15 percent less than Karla's weekly salary.
Let K = Karla's weekly salary
If Greg's salary is 15% less than Karla's salary, we can also say that Greg's salary is 85% of Karla's salary
So, we can write: 187 = 85% of K
In other words, 187 = 0.85K
Solve: K = 187/0.85 = 220
So, Karla's weekly salary is 220
If Karla's weekly salary increases by 10 percent, by what percent must Greg's weekly salary increase in order to equal Karla's new weekly salary?
10% of 220 = 22, so Karla's new salary = 220 + 22 = 242
In order for Greg and Karla to have the same salary, Greg's salary must increase from 187 to 242
Percent increase = (100)(new - old)/old
= (100)(242 - 187)/187
= (100)(55)/187
= 29.4117...
Rounded to the nearest tenth of a percent, we get 29.4
Answer: 29.4
Cheers,
Brent
Re: Greg's weekly salary is 187, which is 15 percent less than K
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01 Feb 2021, 17:40
01 Feb 2021, 17:40
Hello from the GRE Prep Club BumpBot!
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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