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In a certain city two newspapers A and B are published, it is known that 25% of the city population reads A and 20% reads B while 8% reads both A and B. It is also known that 30% of those who read A but not B look into advertisements and 40% of those who read B but not A look into advertisements while 50% of those who read both A and B look into advertisements. What is the percentage of the population that reads an advertisement?
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In a certain city two newspapers A and B are published, it is known th...
Introduction:
In this problem, we are given information about the readership of two newspapers, A and B, in a certain city. We are also provided with data about the percentage of readers who look into advertisements based on their newspaper preferences. Our goal is to calculate the percentage of the population that reads an advertisement.
Given Information:
- 25% of the city population reads newspaper A.
- 20% of the city population reads newspaper B.
- 8% of the city population reads both newspaper A and B.
- 30% of those who read A but not B look into advertisements.
- 40% of those who read B but not A look into advertisements.
- 50% of those who read both A and B look into advertisements.
Calculating the Readership:
To find the percentage of the population that reads an advertisement, we need to determine the proportion of readers who look into advertisements for each newspaper.
Let's assume the total population of the city is 100.
- 25% of the population reads newspaper A, which corresponds to 25 people.
- 20% of the population reads newspaper B, which corresponds to 20 people.
- 8% of the population reads both newspaper A and B, which corresponds to 8 people.
To calculate the number of people who read only A, we subtract the number of people who read both A and B from the total number of A readers: 25 - 8 = 17 people.
Similarly, to calculate the number of people who read only B, we subtract the number of people who read both A and B from the total number of B readers: 20 - 8 = 12 people.
Calculating the Readership of Advertisements:
Now, we can calculate the number of people who look into advertisements for each newspaper category.
- 30% of those who read A but not B look into advertisements: 30% of 17 people = 5.1 people.
- 40% of those who read B but not A look into advertisements: 40% of 12 people = 4.8 people.
- 50% of those who read both A and B look into advertisements: 50% of 8 people = 4 people.
Calculating the Percentage of the Population that Reads an Advertisement:
To find the total number of people who read an advertisement, we sum up the number of people from each category:
- Those who read only A and look into advertisements: 5.1 people.
- Those who read only B and look into advertisements: 4.8 people.
- Those who read both A and B and look into advertisements: 4 people.
The total number of people who read an advertisement is 5.1 + 4.8 + 4 = 13.9 people.
Finally, we calculate the percentage by dividing the number of people who read an advertisement by the total population and multiplying by 100:
(13.9 / 100) * 100 = 13.9%
Therefore, the percentage of the population that reads an advertisement is 13.9%.
In this problem, we are given information about the readership of two newspapers, A and B, in a certain city. We are also provided with data about the percentage of readers who look into advertisements based on their newspaper preferences. Our goal is to calculate the percentage of the population that reads an advertisement.
Given Information:
- 25% of the city population reads newspaper A.
- 20% of the city population reads newspaper B.
- 8% of the city population reads both newspaper A and B.
- 30% of those who read A but not B look into advertisements.
- 40% of those who read B but not A look into advertisements.
- 50% of those who read both A and B look into advertisements.
Calculating the Readership:
To find the percentage of the population that reads an advertisement, we need to determine the proportion of readers who look into advertisements for each newspaper.
Let's assume the total population of the city is 100.
- 25% of the population reads newspaper A, which corresponds to 25 people.
- 20% of the population reads newspaper B, which corresponds to 20 people.
- 8% of the population reads both newspaper A and B, which corresponds to 8 people.
To calculate the number of people who read only A, we subtract the number of people who read both A and B from the total number of A readers: 25 - 8 = 17 people.
Similarly, to calculate the number of people who read only B, we subtract the number of people who read both A and B from the total number of B readers: 20 - 8 = 12 people.
Calculating the Readership of Advertisements:
Now, we can calculate the number of people who look into advertisements for each newspaper category.
- 30% of those who read A but not B look into advertisements: 30% of 17 people = 5.1 people.
- 40% of those who read B but not A look into advertisements: 40% of 12 people = 4.8 people.
- 50% of those who read both A and B look into advertisements: 50% of 8 people = 4 people.
Calculating the Percentage of the Population that Reads an Advertisement:
To find the total number of people who read an advertisement, we sum up the number of people from each category:
- Those who read only A and look into advertisements: 5.1 people.
- Those who read only B and look into advertisements: 4.8 people.
- Those who read both A and B and look into advertisements: 4 people.
The total number of people who read an advertisement is 5.1 + 4.8 + 4 = 13.9 people.
Finally, we calculate the percentage by dividing the number of people who read an advertisement by the total population and multiplying by 100:
(13.9 / 100) * 100 = 13.9%
Therefore, the percentage of the population that reads an advertisement is 13.9%.
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In a certain city two newspapers A and B are published, it is known th...
easy but slightly long solution
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In a certain city two newspapers A and B are published, it is known that 25% of the city population reads A and 20% reads B while 8% reads both A and B. It is also known that 30% of those who read A but not B look into advertisements and 40% of those who read B but not A look into advertisements while 50% of those who read both A and B look into advertisements. What is the percentage of the population that reads an advertisement?
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In a certain city two newspapers A and B are published, it is known that 25% of the city population reads A and 20% reads B while 8% reads both A and B. It is also known that 30% of those who read A but not B look into advertisements and 40% of those who read B but not A look into advertisements while 50% of those who read both A and B look into advertisements. What is the percentage of the population that reads an advertisement? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about In a certain city two newspapers A and B are published, it is known that 25% of the city population reads A and 20% reads B while 8% reads both A and B. It is also known that 30% of those who read A but not B look into advertisements and 40% of those who read B but not A look into advertisements while 50% of those who read both A and B look into advertisements. What is the percentage of the population that reads an advertisement? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a certain city two newspapers A and B are published, it is known that 25% of the city population reads A and 20% reads B while 8% reads both A and B. It is also known that 30% of those who read A but not B look into advertisements and 40% of those who read B but not A look into advertisements while 50% of those who read both A and B look into advertisements. What is the percentage of the population that reads an advertisement?.
In a certain city two newspapers A and B are published, it is known that 25% of the city population reads A and 20% reads B while 8% reads both A and B. It is also known that 30% of those who read A but not B look into advertisements and 40% of those who read B but not A look into advertisements while 50% of those who read both A and B look into advertisements. What is the percentage of the population that reads an advertisement? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about In a certain city two newspapers A and B are published, it is known that 25% of the city population reads A and 20% reads B while 8% reads both A and B. It is also known that 30% of those who read A but not B look into advertisements and 40% of those who read B but not A look into advertisements while 50% of those who read both A and B look into advertisements. What is the percentage of the population that reads an advertisement? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a certain city two newspapers A and B are published, it is known that 25% of the city population reads A and 20% reads B while 8% reads both A and B. It is also known that 30% of those who read A but not B look into advertisements and 40% of those who read B but not A look into advertisements while 50% of those who read both A and B look into advertisements. What is the percentage of the population that reads an advertisement?.
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