GMAT MATH - Average
June 11, 2004
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 |
Correct Choice (D) Answer ($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.
ð 1350 = 609 + wage on 8th day + 644
ð wage on 8th day = 1350 – 609 – 644 = $97.
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