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2. In a group of 800 people, 550 can speak Hindi and 450 can speak English. How many can speak both Hindi and English?

Question

  1. In a group of 800 people, 550 can speak Hindi and 450 can speak English. How many can speak both Hindi and English?
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Solution

To solve this problem, we can use the principle of inclusion and exclusion.

Step 1: First, add the number of people who can speak Hindi and English. 550 (Hindi speakers) + 450 (English speakers) = 1000 people

Step 2: However, this total is more than the total number of people in the group, which is 800. This means that some people are being counted twice - once for Hindi and once for English.

Step 3: To find out how many people are being counted twice (i.e., can speak both Hindi and English), subtract the total number of people in the group from the total we calculated in step 1. 1000 (calculated total) - 800 (actual total) = 200 people

So, 200 people in the group can speak both Hindi and English.

This problem has been solved

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