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A company paid $500,000 in merit raises to employees whose performance
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30 May 2023, 11:10
30 May 2023, 11:10
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72% (03:00) correct
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A company paid $500,000 in merit raises to employees whose performances were rated A, B, or C. Each employee rated A received twice the amount of the raise that was paid to each employee rated C; and each employee rated B received one-and a-half times the amount of the raise that was paid to each employee rated C. If 50 workers were rated A, 100 were rated B, and 150 were rated C, how much was the raise paid to each employee rated A ?
A. $370
B. $625
C. $740
D. $1,250
E. $2,500
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A. $370
B. $625
C. $740
D. $1,250
E. $2,500
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
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Re: A company paid $500,000 in merit raises to employees whose performance
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02 Jun 2023, 04:00
02 Jun 2023, 04:00
1
Expert Reply
OE
The question states that $500,000 was given to employees rated A, B or C as follows: A employees received twice the amount that C employees received, and B employees received one and a half the amount that C employees received. There were 50 A employees, 100 B employees and 150 C employees. The question asks how much was paid to each A employee. The answers are in order from least to greatest, so Plug In the Answers. Begin with (C).
If $740 was paid to each A employee, then $740/2=$370 was paid to each C employee,
and 1.5 × $370 = $555 was paid to each B employee, which means that the total amount paid to all employees would be equal to (50*$740)+ (150*$370)=$148,000 This is quite short of $500,000, so eliminate (A), (B), and (C).
Try (D). If $1,250 was paid to each A employee, then $1250/2=$625 was paid to each C employee, and 1.5 × $625 = $937.50 was paid to each B employee, which means that the total amount paid to all employees would be equal to (50*$1250)+(100*$937.50)+(150*$625)=$250,000. Eliminate (D). The correct answer is (E). Note that $250,000 is one-half of $500,000, and $1,250, (D), is one-half of $2,500, (E).
The question states that $500,000 was given to employees rated A, B or C as follows: A employees received twice the amount that C employees received, and B employees received one and a half the amount that C employees received. There were 50 A employees, 100 B employees and 150 C employees. The question asks how much was paid to each A employee. The answers are in order from least to greatest, so Plug In the Answers. Begin with (C).
If $740 was paid to each A employee, then $740/2=$370 was paid to each C employee,
and 1.5 × $370 = $555 was paid to each B employee, which means that the total amount paid to all employees would be equal to (50*$740)+ (150*$370)=$148,000 This is quite short of $500,000, so eliminate (A), (B), and (C).
Try (D). If $1,250 was paid to each A employee, then $1250/2=$625 was paid to each C employee, and 1.5 × $625 = $937.50 was paid to each B employee, which means that the total amount paid to all employees would be equal to (50*$1250)+(100*$937.50)+(150*$625)=$250,000. Eliminate (D). The correct answer is (E). Note that $250,000 is one-half of $500,000, and $1,250, (D), is one-half of $2,500, (E).
Re: A company paid $500,000 in merit raises to employees whose performance
[#permalink]
16 Jun 2024, 12:20
16 Jun 2024, 12:20
Carcass wrote:
OE
The question states that $500,000 was given to employees rated A, B or C as follows: A employees received twice the amount that C employees received, and B employees received one and a half the amount that C employees received. There were 50 A employees, 100 B employees and 150 C employees. The question asks how much was paid to each A employee. The answers are in order from least to greatest, so Plug In the Answers. Begin with (C).
If $740 was paid to each A employee, then $740/2=$370 was paid to each C employee,
and 1.5 × $370 = $555 was paid to each B employee, which means that the total amount paid to all employees would be equal to (50*$740)+ (150*$370)=$148,000 This is quite short of $500,000, so eliminate (A), (B), and (C).
Try (D). If $1,250 was paid to each A employee, then $1250/2=$625 was paid to each C employee, and 1.5 × $625 = $937.50 was paid to each B employee, which means that the total amount paid to all employees would be equal to (50*$1250)+(100*$937.50)+(150*$625)=$250,000. Eliminate (D). The correct answer is (E). Note that $250,000 is one-half of $500,000, and $1,250, (D), is one-half of $2,500, (E).
The question states that $500,000 was given to employees rated A, B or C as follows: A employees received twice the amount that C employees received, and B employees received one and a half the amount that C employees received. There were 50 A employees, 100 B employees and 150 C employees. The question asks how much was paid to each A employee. The answers are in order from least to greatest, so Plug In the Answers. Begin with (C).
If $740 was paid to each A employee, then $740/2=$370 was paid to each C employee,
and 1.5 × $370 = $555 was paid to each B employee, which means that the total amount paid to all employees would be equal to (50*$740)+ (150*$370)=$148,000 This is quite short of $500,000, so eliminate (A), (B), and (C).
Try (D). If $1,250 was paid to each A employee, then $1250/2=$625 was paid to each C employee, and 1.5 × $625 = $937.50 was paid to each B employee, which means that the total amount paid to all employees would be equal to (50*$1250)+(100*$937.50)+(150*$625)=$250,000. Eliminate (D). The correct answer is (E). Note that $250,000 is one-half of $500,000, and $1,250, (D), is one-half of $2,500, (E).
Is there any other way of solving it?This will take too much time in Test
