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: The correct ratio of laptops sold by C to desktops sold by A is 8:19 (Option 1).

Step-by-Step Explanation:

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

1. 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 by B.

We can convert 43.33% into a fraction:

$43.33\%=40\%+3.33\%=\frac{2}{5}+\frac{1}{30}=\frac{13}{30}$

Therefore, laptops sold by B:

$\text{Laptops (B)}=60\times \left(1+\frac{13}{30}\right)=60\times \frac{43}{30}=86$

2. Seller C:

Number of laptops sold by C = 16

3. Seller A:

Let the number of laptops sold by A be $L_A$.

Given: The number of desktops sold by A is 40 less than the number of laptops sold by A.

$\text{Desktops (A)}=L_A-40$

Also, the number of desktops sold by C is equal to the number of laptops sold by A:

$\text{Desktops (C)}=L_A$

4. Total Laptops & Finding $L_A$:

The average number of laptops sold by all three (A, B, C) is 60.

$\text{Total Laptops}=60\times 3=180$

Summing up laptops sold by A, B, and C:

$L_A+86+16=180$

$L_A+102=180$

$L_A=180-102=78$

Now, calculate the number of desktops sold by A:

$\text{Desktops (A)}=78-40=38$

5. Ratio Calculation:

We need to find the ratio of laptops sold by C to desktops sold by A:

$\text{Ratio}=\frac{\text{Laptops sold by C}}{\text{Desktops sold by A}}=\frac{16}{38}=\frac{8}{19}$

Thus, the required ratio is 8:19.