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555-605 (Medium)|   Word Problems|            
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guddo
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George is an employee at a firm. For each day that he is absent, he 30 May 2024, 12:31
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25% (medium)

Question Stats:

76% (01:43) correct 24% (02:08) wrong based on 615 sessions

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­George is an employee at a firm. For each day that he is absent, he forfeits 4% of his monthly salary. For every hour of overtime he does, he receives 1% added to his monthly salary. His salary reduced for the month of June by 5%. How many hours of overtime did George do in that month?

(1) George was absent for 3 days in the month of June.

(2) George received 7% of his monthly salary for doing overtime in the month of June.
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D
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stne
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George is an employee at a firm. For each day that he is absent, he 31 May 2024, 15:03
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Bunuel
­George is an employee at a firm. For each day that he is absent, he forfeits 4% of his monthly salary. For every hour of overtime he does, he receives 1% added to his monthly salary. His salary reduced for the month of June by 5%. How many hours of overtime did George do in that month?

(1) George was absent for 3 days in the month of June.

(2) George received 7% of his monthly salary for doing overtime in the month of June.
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­We can assume George's salary to be \(100 \) as everything is given in percentage.

Absent days he loses \(4\) per day
For overtime he gets \(1\) per hour.

His June salary was \(95.\)

\(95 = 100 + h - 4a\) ( Where \(h\) is the \(#\) of overtime hours and \(a\) is the \(#\) of absent days ) ... (i)

 ­(1) George was absent for 3 days in the month of June.

We can substitute the value of \(a\) in eqn (i) above and get \(h\).

SUFF.

(2) George received 7% of his monthly salary for doing overtime in the month of June.

\(7 = 1*h\)

\(h=7\)

SUFF.

Ans D

Hope it helped.
 ­
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George is an employee at a firm. For each day that he is absent, he Updated on: 15 Aug 2024, 03:28
Originally posted by FCK89 on 14 Aug 2024, 09:42.
Last edited by FCK89 on 15 Aug 2024, 03:28, edited 1 time in total.
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Hi please can someone provide me the way to answer this question? I find it difficult to infer all the informations on this problem. So difficulty to arrive to the answer.

Thx­
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George is an employee at a firm. For each day that he is absent, he 14 Aug 2024, 09:56
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For 1 unit of overtime a factor of 1.04 gets multiplied to salary.
For 1 unit of overtime a factor of 0.99 gets multiplied to salary.

If Monthly salary is X; overtimes is N1 and Absents is N2 .
Salary at end = X * (1.04)^N1 * (0.99)^N2 = X (0.95)
Find N1

1)N2 = 3
N1 can be found.

2) Overtime salary 7% of monthly salary

X (1.04)^N1 = X (0.07).
N1 can be found.

Hence D.

FCK89­
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George is an employee at a firm. For each day that he is absent, he 14 Aug 2024, 11:40
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­George is an employee at a firm. For each day that he is absent, he forfeits 4% of his monthly salary. For every hour of overtime he does, he receives 1% added to his monthly salary. His salary reduced for the month of June by 5%. How many hours of overtime did George do in that month?

We see that George's monthly salary is arrived at in the following way:

Monthly Salary = Full Salary - (Days Absent × 4%) + (Hours Overtime × 1%)

We are told that his June Salary is 5% lower than his full salary. So, his June salary is 95% of his full salary.

Of course, that 95% figure could have been arrived at in different ways. For example, George could have been absent 2 days and worked 3 hours of overtime, or he could have been absent 3 days and worked 7 hours of overtime.

So, to determine how many hours of overtime George did in June, we need information on either how many hours of overtime he did or how many days he as absent.

(1) George was absent for 3 days in the month of June.

Using this information, we can determine how many hours of overtime he worked because being absent for 3 days would serve to reduce his salary by 3 × 4% = 12%.

So, since we know from the passage that his salary was reduced by 5%, we can calculate the difference.

- 12% + x% = - 5%

x% = 7%

To get a 7% increase in salary, George had to do 7 hours of overtime.

Thus, using the information provided by this statement we can determine that he did 7 hours of overtime.

Sufficient.

(2) George received 7% of his monthly salary for doing overtime in the month of June.

To receive 7% of his salary for doing overtime, George would have had to work 7%/1% = 7 hours of overtime.

So, this information is clearly sufficient for determining how much overtime he did in June.

Sufficient.

Correct answer: D
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George is an employee at a firm. For each day that he is absent, he 02 Oct 2025, 03:31
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guddo
­George is an employee at a firm. For each day that he is absent, he forfeits 4% of his monthly salary. For every hour of overtime he does, he receives 1% added to his monthly salary. His salary reduced for the month of June by 5%. How many hours of overtime did George do in that month?

(1) George was absent for 3 days in the month of June.

(2) George received 7% of his monthly salary for doing overtime in the month of June.
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Extra = Number of hours of overtime * 1% of Salary - Number of days absent * 4% of salary = - 5% of Salary

(1) George was absent for 3 days in the month of June.


Number of hours of overtime * 1% of Salary - 3 * 4% of salary = - 5% of Salary

Number of hours of overtime = 7

Sufficient alone.


(2) George received 7% of his monthly salary for doing overtime in the month of June.

Number of hours of overtime * 1% of Salary = 7% of Salary

Number of hours of overtime = 7

Sufficient alone.

Answer (D)
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