In ranchi only two newspapers dainik jagran and prabhat khabar are published. It is known that 25% of the city population reads Dainik Jagran and 20% reads Prabhat Khabar while 8% reads both dainik jagran and prabhat khabar. It is also known that 30% of those who read Dainik jagran but not Prabhat khabar look into advertisements and 40% of those who read Prabhat khabar but not Dainik Jagran look into advertisements while 50% of those who read both Dainik Jagran and Prabhat Khabar look into advertisements. What is the percentage of population that reads advertisements?
Answers
Answer:
in a city,only two newspapers are published,they are newspaper A and B.it is known that,25%of population reads A. while20% of population reads B. and 8% of population reads both A&B.it is also known that 30% of population who reads A but not B looks into advertisements
Answer:
The percentage of the population that reads advertisements is 13.9%.
Given:
In Ranchi, two newspapers are published, namely Dainik Jagran, and Prabhat Khabar.
25% of the city population reads Dainik Jagran and 20% reads Prabhat Khabar while 8% reads both Dainik Jagran and Prabhat Khabar.
30% of those who read Dainik Jagran but not Prabhat Khabar look into advertisements and 40% of those who read Prabhat Khabar but not Dainik Jagran look into advertisements.
50% of those who read both Dainik Jagran and Prabhat Khabar look into advertisements.
To find:
Percentage of population that reads advertisements.
Solution:
let the total population be 100x
- total population reading Dainik Jagran = 25% of 100x = 25x
- total population reading Prabhat Khabar = 20% of 100x = 20x
- total population reading both = 8% of 100x = 8x
- total population reading Dainik Jagran but not Prabhat Khabar = 25x - 8x = 17x
- total population reading Prabhat Khabar but not Dainik Jagran = 20x - 8x = 12x
Total population reading an ad=(30% of 17x) + (40% of 12x) + (50% of 8x ) = 5.1x + 4.8x + 4x = 13.9x
Hence, the total percentage of the population reading ad=(13.9x / 100x)*100 = 13.9%
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