Question 51

In an engineering college the average salary of all engineering graduates from Mechanical trade is Rs. 2.45 lacs per annum and that of the engineering graduates from Electronics trade is Rs. 3.56 lacs per annum. The average salary of all Mechanical and Electronics graduates is Rs. 3.12 lacs per annum. Find the least number of Electronics graduates passing out from this institute.

Solution

Let the number of Mechanical graduates be m and number of electronics be e.

Σm/m = 2.45

Σe/e = 3.56

Σm + Σe / m + e = 3.12

On solving, 

2.45m + 3.56e = 3.12m + 3.12e

0.44e = 0.67m

44e = 67m

Least value of e is when m = 44, as 67 is a prime number

So, least value of electronics students = 67.


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