The average of n numbers is 42. If 75% of the numbers are increased by 4 each and the remaining numbers are decreased by 8 each, then what is the average of the numbers, so obtained?

Options

A. `43.8`
B. 43
C. `42.5`
D. 44

Answer

To solve the problem step by step, let's break it down:

### Step 1: Calculate the sum of the original numbers
Given that the average of \( n \) numbers is 42, we can find the sum of these numbers using the formula for average:

\[ \text{Sum} = \text{Average} \times \text{Number of items} = 42n \]