In a locality 65% of the families read Times of India 75% read Indian Express 15% read neither If 330 families read both the newspapers how many families lived in that locality Draw a Venn diagram to solve the problem

Step by Step Solution : 

Let, total family be x
Therefore,
Times of India, 
= x × 65/100
= 13x/20
Indian Express,
= x × 75/100
= 3x/4
Neither,
= x × 15/100
= 3x/20
Therefore,
= x – 3x/20
= 20x – 3x/20
= 17x/20

Now total families lived in that locality, 
= 13x/20 + 3x/4 + 3x/20 = x 330
= 13x + 15x 3x/20 = x + 330
= 31x/20 = x + 330
= 31x = 20x + 6600
= 31x – 20x = 6600
= 11x = 660
= x = 6600/11
= x = 600
So, a total of 600 families live in that locality.

Video Explanation : 
https://youtu.be/S89fqEzf4J4