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.

Number of the number of Digital watches sold by C is what percentage of analog watches sold by A and C together.

Let us analyze the given information step-by-step to find the number of watches sold by each shop.

Step 1: Calculate watches for Shop B
We are given that the number of analog watches sold by B is 30, which is 25% less than the number of digital watches sold by B.
Let the number of digital watches sold by B be $x$.
Since the number of analog watches sold by B is 25% less than $x$:
$30=x-0.25x=0.75x$
$x=\frac{30}{0.75}=40$
So, the number of digital watches sold by Shop B is 40.

Step 2: Calculate watches for 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 the number of analog watches sold by A be $A_{\text{analog}}$.
$\frac{A_{\text{analog}}}{40}=\frac{5}{4}$
$A_{\text{analog}}=50$
The number of digital watches sold by A is 25% less than that of B.
Let the number of digital watches sold by A be $A_{\text{digital}}$.
$A_{\text{digital}}=40-(0.25\times 40)=40-10=30$

Step 3: Calculate watches for Shop C
The total number of digital watches sold by all three shops is 140.
$A_{\text{digital}}+B_{\text{digital}}+C_{\text{digital}}=140$
$30+40+C_{\text{digital}}=140$
$70+C_{\text{digital}}=140$
$C_{\text{digital}}=70$
The number of digital watches sold by C is 40% more than the number of analog watches sold by C.
Let the number of analog watches sold by C be $C_{\text{analog}}$.
$C_{\text{digital}}=C_{\text{analog}}+0.40\times C_{\text{analog}}=1.40\times C_{\text{analog}}$
$70=1.40\times C_{\text{analog}}$
$C_{\text{analog}}=\frac{70}{1.40}=50$

Step 4: Find the required percentage
We need to find what percentage of the analog watches sold by A and C together is the number of digital watches sold by C.
First, find the sum of analog watches sold by A and C:
$A_{\text{analog}}+C_{\text{analog}}=50+50=100$
Now, calculate the percentage:
$\text{Percentage}=\frac{C_{\text{digital}}}{A_{\text{analog}}+C_{\text{analog}}}\times 100$
$\text{Percentage}=\frac{70}{100}\times 100=70\%$

Therefore, the number of digital watches sold by C is 70% of the analog watches sold by A and C together. The correct option is 70%.