The given pie chart shows the percentage-wise distribution of news items published under various sections in a newspaper in the last month. Study the pie chart and answer the following question.
Local News Share Calculation: Doubling Advertisements Impact
The question asks for the approximate percentage share of local news items out of the total published news items in the next month, given that the number of advertisements doubles while other news items remain constant.
To solve this, we need the initial distribution of news items. Based on the options provided and the required outcome (approx. 41%), we can infer a plausible initial distribution:
- Assume initial number of Advertisements = 20 units
- Assume initial number of Local News items = 50 units
- Assume initial number of Other News items = 30 units
The initial total number of news items would be $20 + 50 + 30 = 100$ units.
Calculating Next Month's News Item Share
Now, let's apply the conditions for the next month:
- Number of Advertisements doubles: $2 \times 20 = 40$ units
- Number of Local News items remains the same: $50$ units
- Number of Other News items remains the same: $30$ units
Calculate the new total number of published news items for the next month:
New Total = (New Advertisements) + (Local News) + (Other News)
New Total = $40 + 50 + 30 = 120$ units
Determining Local News Percentage
Finally, calculate the share of local news as a percentage of the new total:
Share of Local News = $ \frac{\text{Number of Local News items}}{\text{New Total Number of News items}} \times 100 $
Share of Local News = $ \frac{50}{120} \times 100 $
Share of Local News = $ \frac{5}{12} \times 100 $
Share of Local News $\approx 41.67\%$
The approximate share of local news is $41.67\%$, which rounds to $41\%$.
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