MDTV is a very popular TV channel. It telecasts the programmes from `8:00 a.m. to 12:00pm .It telecasts 60 advertisements each of 8 seconds. What is the percentage of time devoted in a day for the advertisements?

Options

A. `1.5%`
B. `3.67%`
C. `2%`
D. `2.5%`

Answer

To find the percentage of time devoted to advertisements by MDTV, we will follow these steps:

### Step 1: Calculate the total time of telecasting in seconds.
MDTV telecasts from 8:00 a.m. to 12:00 p.m., which is a total of 4 hours.

\[ \text{Total time in seconds} = 4 \text{ hours} \times 60 \text{ minutes/hour} \times 60 \text{ seconds/minute} \]

\[ = 4 \times 60 \times 60 = 14400 \text{ seconds} \]

### Step 2: Calculate the total time spent on advertisements.
MDTV telecasts 60 advertisements, each lasting 8 seconds.

\[ \text{Total advertisement time} = 60 \text{ advertisements} \times 8 \text{ seconds/advertisement} \]

\[ = 480 \text{ seconds} \]

### Step 3: Calculate the percentage of time devoted to advertisements.
To find the percentage of time devoted to advertisements, we use the formula:

\[ \text{Percentage of advertisement time} = \left( \frac{\text{Total advertisement time}}{\text{Total time}} \right) \times 100 \]

Substituting the values we calculated:

\[ = \left( \frac{480 \text{ seconds}}{14400 \text{ seconds}} \right) \times 100 \]

\[ = \left( \frac{480}{14400} \right) \times 100 = \frac{1}{30} \times 100 \approx 3.33\% \]

### Final Answer:
The percentage of time devoted in a day for the advertisements is approximately **3.33%**.

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