Question

40 % of the employees in a factory are workers. All the remaining employees are
executives. The annual income of each worker is Rs. 390. The annual income of
each executive is Rs. 420. What is the average annual income of all the employees in the factory together
(A) 390
(B) 405
(C) 408
(D) 415

​

Answer 1

Answer:

408

Step-by-step explanation:

We can assume that there are 10 employees in the factory, so there are 4 workers and 6 executives. Thus, the total annual income of these 10 employees is (4 x 390) + (6 x 420) = 1560 + 2520 = $4080, and their average annual income is 4080/10 = $408.

Answer 2

$\huge\underline{\underline{\texttt{{Question:}}}}$

40 % of the employees in a factory are workers. All the remaining employees are executives. The annual income of each worker is Rs 390. The annual income of each executive is Rs. 420. What is the average annual income of all the employees in the factory together

• (A) 390
• (B) 405
• (C) 408
• (D) 415

$\huge\underline{\underline{\texttt{{Solution:}}}}$

• Option C) 408

$\huge\underline{\underline{\texttt{{Explanation:}}}}$

Given:-

• 40 % of the employees in a factory are workers.
• The annual income of each worker is Rs. 390.
• The annual income of
• each executive is Rs. 420.

To Find:-

• Average annual income of all the employees in the factory together = ?

Here we go !

Let say total number of employees = 100

• Workers = 40
• Executive = 60

As we know,

• Average income of the worker = Rs. 390

• Average income of Executive = Rs. 420

Average annual income of all the employees

$\green\implies \: \frac{(40 \times 390) + (60 \times 420)}{100}$

$\blue\implies \: \frac{100[(4 \times 39) + (6 \times 42)]}{100}$

$\pink\implies 156 + 252$

$\purple\implies \: 408$

Hence, Option C is correct

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