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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?

1. $ 83
2. $ 92
3. $ 90
4. $ 97
5. $ 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.

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