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You are here: Home » CAT Questions » Averages, Mean » Simple Average

CAT Sample Questions : Arithmetic Mean

Question 4 the day : June 11, 2004
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 wages was Rs.87/day and the average wages during the last 7 days was Rs.92 /day. What was his wage on the 8th day?
  1. 83
  2. 92
  3. 90
  4. 97
Correct Answer - 97. Choice (4) is correct.

Explanatory Answer

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

The total wages earned during the first 7 days = 7 * 87 = Rs. 609.
The total wages earned during the last 7 days = 7 * 92 = Rs. 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 = Rs.97.


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