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Comprehension: Study the following inf...

Comprehension:
Study the following information carefully and answer the question given below it:
In a certain town, there are 5000 people. Out of them, 1200 do not subscribe for any newspaper, 2700 subscribe to "The Indian Express' and 1800 subscribe to "The Hindu'.
How many subscribe to 'The Indian Express' only?

A

1100

B

2000

C

2500

D

1800

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, let's break it down: ### Step 1: Determine the total number of people who subscribe to at least one newspaper. The total population of the town is 5000 people. Out of these, 1200 people do not subscribe to any newspaper. Therefore, the number of people who subscribe to at least one newspaper is: \[ 5000 - 1200 = 3800 \] ### Step 2: Identify the total subscriptions for each newspaper. According to the problem: - The number of people who subscribe to "The Indian Express" = 2700 - The number of people who subscribe to "The Hindu" = 1800 ### Step 3: Calculate the number of people who subscribe to both newspapers. To find the number of people who subscribe to both newspapers, we use the principle of inclusion-exclusion. The formula is: \[ \text{Total subscribers} = (\text{Subscribers of Indian Express}) + (\text{Subscribers of Hindu}) - (\text{Subscribers of both}) \] Let \( x \) be the number of people who subscribe to both newspapers. Thus, we can set up the equation: \[ 3800 = 2700 + 1800 - x \] ### Step 4: Solve for \( x \). Rearranging the equation gives: \[ 3800 = 4500 - x \] \[ x = 4500 - 3800 \] \[ x = 700 \] This means 700 people subscribe to both newspapers. ### Step 5: Calculate the number of people who subscribe only to "The Indian Express". To find the number of people who subscribe only to "The Indian Express", we subtract the number of people who subscribe to both newspapers from the total number of subscribers of "The Indian Express": \[ \text{Subscribers of Indian Express only} = \text{Subscribers of Indian Express} - \text{Subscribers of both} \] \[ = 2700 - 700 = 2000 \] ### Final Answer: The number of people who subscribe only to "The Indian Express" is **2000**. ---
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