Find the ratio of laptops sold by C to desktops sold by A.

The information is about the number of laptops and desktops sold by A, B, and C.
A: The number of desktops sold is 40 less than the number of laptops sold.
B: The number of desktops sold is 60. The number of laptops sold is 43.33% more than the number of desktops sold.
C: The number of laptops sold is 16. The number of desktops sold is equal to the number of laptops sold by A.
The average number of laptops sold by all three is 60.

Correct Answer: Option 8:19

Step-by-Step Explanation:

Let us analyze the given information step-by-step to find the required values for each company/seller (A, B, and C).

Step 1: Calculate the number of desktops and laptops sold by B.
It is given that for seller B:
Number of desktops sold by B = 60
Number of laptops sold by B is 43.33% more than the number of desktops sold.
Note that 43.33% = 10% + 33.33% = 1/10 + 1/3 = 13/30.
So, Laptops sold by B = 60 + 60 × (13/30) = 60 + 26 = 86.

Step 2: Use the total average of laptops to find laptops sold by A.
The average number of laptops sold by all three (A, B, and C) is 60.
Total laptops sold by A, B, and C = 60 × 3 = 180.
We are given that laptops sold by C = 16.
Laptops sold by A = Total laptops - (Laptops sold by B + Laptops sold by C)
$\text{Laptops sold by A}=180-(86+16)=180-102=78$

Step 3: Calculate desktops sold by A and C.
For seller A: The number of desktops sold is 40 less than the number of laptops sold.
$\text{Desktops sold by A}=78-40=38$
For seller C: The number of desktops sold is equal to the number of laptops sold by A = 78.

Step 4: Find the required ratio.
We need to find the ratio of laptops sold by C to desktops sold by A:
Laptops sold by C = 16
Desktops sold by A = 38
$\text{Required Ratio}=16:38=8:19$

Thus, the ratio of laptops sold by C to desktops sold by A is 8:19.