TANCET - XAT Math Question : Simple Arithmetic Mean

The question for the day is from the topic average in arithmetic.

Question

The average wages of a worker during a fortnight comprising 15 consecutive working days was Rs.90 per day. During the first 7 days, his average wage was Rs.87 per day and the average wage during the last 7 days was Rs.92 per day. What was his wage on the 8th day?

1. 83
2. 92
3. 90
4. 97
5. 96

Correct Answer - 97. Choice (4)

Explanatory Answer

The total wage earned during the 15 days that the worker worked = 15 * 90 = Rs. 1350.

The total wage earned during the first 7 days = 7 * 87 = Rs. 609.
The total wage earned during the last 7 days = 7 * 92 = Rs. 644.

Total wage earned during the 15 days = wage during first 7 days + wage on 8^th day + wage during the last 7 days.

ð     1350 = 609 + wage on 8^th day + 644
ð     Wage on 8^th day = 1350 - 609 - 644 = Rs.97.

Correct answer choice (4)

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