Instructions: Answer the questions based on the information given below. The Venn diagram given below shows the estimated readership of 3 daily newspapers (X, Y & Z) in a city. The total readership and advertising cost for each of these papers is as below. The total population of the city is estimated to be 14 million. The common readership (in lakhs) is indicated in the given Venn diagram. The number of people (in lakhs) who read only one newspaper is
Show Hint
Subtract each paper's overlaps with the others from its total readership to get the only-one figure for that paper.
Step 1: Find only X. Total readership of X is 8.7 lakh, and the parts of X that overlap with the other papers add up to \(2.5 + 0.5 + 1.0 = 4.0\) lakh, so only X \( = 8.7 - 4.0 = 4.7\) lakh.
Step 2: Find only Y. Total readership of Y is 9.1 lakh, and its overlaps add up to \(2.5 + 0.5 + 1.5 = 4.5\) lakh, so only Y \( = 9.1 - 4.5 = 4.6\) lakh.
Step 3: Find only Z. Total readership of Z is 5.6 lakh, and its overlaps add up to \(1.0 + 0.5 + 1.5 = 3.0\) lakh, so only Z \( = 5.6 - 3.0 = 2.6\) lakh.
Final Answer: Readers of only one newspaper \( = 4.7 + 4.6 + 2.6 = 11.9\) lakh. \[ \boxed{11.9 \text{ lakh}} \]
