Direction (63-65): Read the information carefully and answer the following questions.

Three shops (A, B and C) sold two types of watches (Analog and Digital). Ratio of number of Analog watches sold by shop A to the number of digital watches sold by B is 5: 4 and the number of Digital watches sold by A is 25% less than that of B. Number of digital watches sold by C is 40% more than that of analog by C. Number of analog watches sold by B is 30 which 25% less than that of digital watches sold by him and the total number digital watches sold by all the three shops is 140.

Total number of Analog watches sold by all the three shop is how much more/less than the number of Digital watches sold by A and B together.

To find the required difference, we can determine the number of analog and digital watches sold by each shop step-by-step from the given information.

Step 1: Find the number of digital watches sold by shop B
We are given that the number of analog watches sold by shop B is 30, which is 25% less than the number of digital watches sold by B. Let the number of digital watches sold by shop B be $D_B$.
Therefore, we can set up the equation:

$30=D_B\times (1-0.25)$

$30=0.75\times D_B$

$D_B=\frac{30}{0.75}=40$

So, shop B sold 40 digital watches.

Step 2: Find the number of analog and digital watches sold by shop A
The ratio of the number of analog watches sold by shop A to the number of digital watches sold by B is 5:4.
Let $A_A$ be the number of analog watches sold by shop A:

$\frac{A_A}{D_B}=\frac{5}{4}$

$\frac{A_A}{40}=\frac{5}{4}\Rightarrow A_A=50$

The number of digital watches sold by shop A ($D_A$) is 25% less than that of shop B:

$D_A=40\times (1-0.25)=40\times 0.75=30$

Step 3: Find the watches sold by shop C
The total number of digital watches sold by all three shops is 140:

$D_A+D_B+D_C=140$

$30+40+D_C=140$

$70+D_C=140\Rightarrow D_C=70$

The number of digital watches sold by shop C is 40% more than that of analog watches sold by C ($A_C$):

$D_C=A_C\times (1+0.40)$

$70=1.4\times A_C$

$A_C=\frac{70}{1.4}=50$

Step 4: Calculate the final comparison
Now we calculate the total number of analog watches sold by all three shops:

$\text{Total Analog}=A_A+A_B+A_C=50+30+50=130$

Next, we calculate the number of digital watches sold by shops A and B together:

$\text{Digital (A + B)}=D_A+D_B=30+40=70$

Finally, we find the difference between the two values:

$\text{Difference}=130-70=60$

Therefore, the total number of analog watches sold by all three shops is 60 more than the number of digital watches sold by A and B together.