Study the following table carefully and answer the questions given below it.
Number of T.V. channels telecast in various cities in a year (Number in thousands).
`{:(,,"T.V.","Channels",,),("Cities","MTv","ESPN","Aaj TaK","CNBC","Sahara"),(A,14,23,27,0.7,0.5),(B,10.2,12,26,2,0.3),(C,7.5,7,10,1.8,0.6),(D,13.1,8,20,2,3.5),(E,19,15.6,13,5,2.1),(F,13,10.0,10.8,2.7,6.2):}`
If the number of MTv channel telecast in city B and E is increased by 8%. What will be the total number of MTv channels telecast in both the cities together ?

Options

A. 43436
B. 34536
C. 35136
D. 31536

Answer

To solve the problem step by step, we need to follow these instructions:

### Step 1: Identify the number of MTv channels in cities B and E.
From the table provided:
- Number of MTv channels in City B = 10.2 (in thousands)
- Number of MTv channels in City E = 19 (in thousands)

### Step 2: Calculate the total number of MTv channels in both cities before the increase.
To find the total:
\[ \text{Total MTv channels} = \text{MTv in B} + \text{MTv in E} = 10.2 + 19 = 29.2 \text{ (in thousands)} \]

### Step 3: Convert the total from thousands to actual numbers.
Since the numbers are in thousands, we multiply by 1000:
\[ \text{Total MTv channels in both cities} = 29.2 \times 1000 = 29200 \]

### Step 4: Calculate the increase of 8% on the total number of MTv channels.
To find the new total after an 8% increase, we first find 8% of 29200:
\[ \text{8% of 29200} = \frac{8}{100} \times 29200 = 0.08 \times 29200 = 2336 \]

### Step 5: Add the increase to the original total.
Now, we add this increase to the original total:
\[ \text{New total} = 29200 + 2336 = 31536 \]

### Final Answer:
The total number of MTv channels telecast in both cities B and E after the increase is **31536**.

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