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 observe the data for Shop C:

Step 1: Calculate the total items sold by Shop C

From the line graph for shop C:

$\text{Total TV sold by shop C}=680$

$\text{Difference between Cellphone and TV sold by shop C}=400$

Since total cell phones sold are more than total TV sold for all shops:

$\text{Total Cell phones sold by shop C}=\text{TV sold}+\text{Difference}$

$\text{Total Cell phones sold by shop C}=680+400=1080$

Therefore, the total items (Cell phone + TV) sold by shop C is:

$\text{Total items sold by C}=680+1080=1760$

Step 2: Calculate the total items sold by Shop F

Total items sold by Shop F is 20% more than that sold by Shop C:

$\text{Total items sold by F}=1760\times \left(1+\frac{20}{100}\right)$

$\text{Total items sold by F}=1760\times 1.2=2112$

Step 3: Find the number of TV sold by Shop F

The ratio of total TV sold to cell phone sold by shop F is given as 7 : 15.

$\text{Total ratio parts}=7+15=22$

$\text{Number of TV sold by shop F}=2112\times \frac{7}{22}$

$\text{Number of TV sold by shop F}=96\times 7=672$

Thus, the total number of TV sold by Shop F is 672.