Question 59

# Ramesh analysed the monthly salary figures of five vice presidents of his company. All the salary figures are integers. The mean and the median salary figures are 5 lakh, and the only mode is 8 lakh. Which of the options below is the sum (in lakh) of the highest and the lowest salaries?

Solution

Median = 5 , Mode = 8

Mean = 5, => Sum of 5 salaries = $$25$$

As mode is 8, it will occur 2 times but not 3 ($$\because$$ sum is 25)

Also, median is 5, the third salary is 5 and the first two are less than 5

=> Sum of third , fourth and fifth salary = 5 + 8 + 8 = 21

Sum of first two = 25 - 21 = 4

First and second salaries cannot be same ($$\because$$ mode is 8)

=> First and second salary = 1 and 3

$$\therefore$$ Sum (in lakh) of the highest and the lowest salaries = 1 + 8 = 9