The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8500. If his salary for the month of May is Rs.6500, find his salary for the month of January?
Correct answer: C. 4500
- A. 3000
- B. 2500
- C. 4500
- D. 5000
Explanation
The January-to-April salary total is 4 x Rs. 8000 = Rs. 32,000, while the February-to-May total is 4 x Rs. 8500 = Rs. 34,000. Subtracting the overlapping months gives May salary - January salary = Rs. 2000, so January salary is Rs. 6500 - Rs. 2000 = Rs. 4500. The likely mistake is choosing Rs. 5000 by reversing the subtraction of the two totals.
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About Averages
An average represents the total of a set of values divided by the number of values, and a weighted average gives different importance to different groups. Problems involve missing values, combined averages, replacement of observations, and changes in the average, so the total and count must be tracked separately.
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