A tech firm employs a total of 100 software engineers, 40% of whom are senior engineers while the rest are junior engineers. If the average monthly compensation of a senior engineer is ₹50,000 and that of a junior engineer is ₹60,000, find the average monthly salary of all the engineers combined (in ₹000s).

The correct option is 56.

Step-by-step Explanation:

Step 1: Determine the total number of senior and junior engineers.
The tech firm employs a total of 100 software engineers.
Percentage of senior engineers = 40%
Number of senior engineers = 40% of 100 = 40
Number of junior engineers = 100 - 40 = 60

Step 2: Calculate the total monthly compensation for each group.
Average monthly compensation of a senior engineer = ₹50,000
Total compensation for senior engineers = 40 × ₹50,000 = ₹2,000,000

Average monthly compensation of a junior engineer = ₹60,000
Total compensation for junior engineers = 60 × ₹60,000 = ₹3,600,000

Step 3: Calculate the combined average monthly compensation.
Total compensation for all engineers combined = ₹2,000,000 + ₹3,600,000 = ₹5,600,000
Total number of engineers = 100

Average monthly compensation of all engineers combined:

$\text{Average}=\frac{\mathrm{5,600,000}}{100}=\text{₹}\mathrm{56,000}$

Step 4: Express the answer in ₹000s.
₹56,000 in thousands of rupees = 56

Thus, the average monthly salary of all the engineers combined (in ₹000s) is 56.