The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary?
Correct answer: C. Rs. 3600
- A. Rs. 2000
- B. Rs. 2400
- C. Rs. 3600
- D. Rs. 4800
Explanation
The original total salary is 20 x Rs. 1500 = Rs. 30,000. With the manager included, the total becomes 21 x Rs. 1600 = Rs. 33,600, so the manager's salary is Rs. 33,600 - Rs. 30,000 = Rs. 3,600 per month. A student may choose Rs. 2,000 by multiplying the increase of Rs. 100 by 20 instead of comparing the new 21-person total.
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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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