The question for the day is a Math question from the topic Arithmetic Mean.
Question 4
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 8
th day?
- $ 83
- $ 92
- $ 90
- $ 97
- $ 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 8
th day + wages during the last 7 days.
=> 1350 = 609 + wage on 8
th day + 644
=> wage on 8
th day = 1350 - 609 - 644 = $ 97.