Instructions

Study the following information carefully to answer the questions.
The teachersâ€™ colony has 2800 members, out of which 650 members read only English newspaper. 550 members read only Hindi newspaper and 450 members read only Marathi newspaper. The number of members reading all the 3 newspapers is 100. Members reading Hindi as well as English newspaper are 200. 400 members read Hindi as well as Marathi newspaper and 300 members read English as well as Marathi newspaper.

Question 145

# Find the number of members reading no newspaper.

Solution

People who read only English = $$a = 650$$

Similarly, $$c = 550$$

$$g = 450$$

People who read all three newspapers = $$e = 100$$

Also, people who read English and Hindi = $$b + e = 200$$

=> $$b = 200 - 100 = 100$$

Similarly, $$d = 200$$

$$f = 300$$

Number of people who do not read any newspaper = $$h$$

Here, $$a + b + c + d + e + f + g + h = 2800$$

=> $$650 + 100 + 550 + 200 + 100 + 300 + 450 + h = 2800$$

=> $$h = 2800 - 2350 = 450$$