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A part-time employee whose hourly wage was increased by 25

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A part-time employee whose hourly wage was increased by 25 [#permalink] New post 22 Oct 2006, 08:25
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A part-time employee whose hourly wage was increased by 25 percent decided to reduce the number of hours worked per week so that the employee’s total weekly income would remain unchanged. By what percent should the number of hours worked be reduced?

(A) 12.5%
(B) 20%
(C) 25%
(D) 50%
(E) 75%
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 [#permalink] New post 22 Oct 2006, 08:54
A part-time employee whose hourly wage was increased by 25 percent decided to reduce the number of hours worked per week so that the employee’s total weekly income would remain unchanged. By what percent should the number of hours worked be reduced?

(A) 12.5% (B) 20% (C) 25% (D) 50% (E) 75%

original weekly income = hours worked * wage per hour = xy

after inc = 1.25xy

for his income to remain unchanged 25% of his workinjg hours has to dec.

1.25xy - z = xy

z = 0.25xy guven reduction is from number of hours thus it has to be reduced by the 25%
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 [#permalink] New post 22 Oct 2006, 09:09
Let original hourly wage be x and let the no of hours worked be y
Total wage will be =x*y
After the increment the wage will be=1.25 x
Now we need to find number of hours worked so that

x*y=1.25x*z i.e z=4/5 y

%decrease = (y-4/5y)/y *100=100/5=20%.
Thus my answer is B.

Correct me if I am wrong.
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 [#permalink] New post 22 Oct 2006, 09:21
YOGESH U R ABSOLUTELY RIGHT ......MY ANSWER IS WRONG


THANKS FOR THE CORRECTION MAN :wink:
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 [#permalink] New post 02 Jun 2007, 08:00
bmwhype2 wrote:
yogeshsheth wrote:
Let original hourly wage be x and let the no of hours worked be y
Total wage will be =x*y
After the increment the wage will be=1.25 x
Now we need to find number of hours worked so that

x*y=1.25x*z i.e z=4/5 y

%decrease = (y-4/5y)/y *100=100/5=20%.
Thus my answer is B.

Correct me if I am wrong.


what does z represent?


z represents the percentage of initial working time y, i.e 80% of y. cheers
  [#permalink] 02 Jun 2007, 08:00
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