The line graph given below shows the total number of TV sold and difference between cell phone and TV sold by five different shops (A, B, C, D and E).

Note – Total cell phones sold by all the shops are more than the total TV sold.
Items = cell phone + TV

Total items sold by Shop F is 20% more than that by shop C and the ratio of total TV sold and cell phone sold by shop F is 7:15. Find the number of TV sold by F .

The correct answer is 672.

From the given line graph, we can extract the data for Shop C:
- Total TV sold by Shop C (Blue line): 680
- Difference between cell phone and TV sold by Shop C (Orange line): 400

According to the note, the total cell phones sold by all the shops are more than the total TV sold. Therefore, for Shop C, we have:
$\text{Number of cell phones sold by C}=\text{Total TV sold by C}+\text{Difference}$
$\text{Number of cell phones sold by C}=680+400=1080$

Now, we calculate the total items (cell phone + TV) sold by Shop C:
$\text{Total items sold by Shop C}=680+1080=1760$

It is given that the total items sold by Shop F is 20% more than that by Shop C:
$\text{Total items sold by Shop F}=1760\times (1+\frac{20}{100})$
$\text{Total items sold by Shop F}=1760\times 1.2=2112$

The ratio of total TV sold to cell phone sold by Shop F is given as 7:15.
Let the number of TVs and cell phones sold by F be 7x and 15x respectively.
Therefore, the total items sold by Shop F is:
$7x+15x=22x$

Equating the total items sold by F:
$22x=2112$
$x=\frac{2112}{22}=96$

Finally, we find the number of TVs sold by Shop F:
$\text{TV sold by Shop F}=7x=7\times 96=672$