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Averages - June 11, 2004
The GMAT Sample Math question for the day is from the topic Averages.
Question
The average wages of a worker during a fortnight comprising 15 consecutive working days was $ 90 per day. During the first 7 days, his average wages was $ 87/day and the average wages during the last 7 days was $ 92 /day. What was his wage on the 8th day?
A. $83
B. $92
C. $90
D. $97
E. $104
The correct choice is (D) and the correct answer is $97.
Explanatory Answer
The total wages earned during the 15 days that the worker worked = 15 * 90 = $ 1350.
The total wages earned during the first 7 days = 7 * 87 = $ 609.
The total wages earned during the last 7 days = 7 * 92 = $ 644.
Total wages earned during the 15 days = wages during first 7 days + wage on 8th day + wages during the last 7 days.
=> 1350 = 609 + wage on 8th day + 644
=> wage on 8th day = 1350 – 609 – 644 = $97.
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