80 people in a colony were surveyed and it was found that for every 6 people who read The Hindu’, there are 4 people who read Times of India’. For every 9 people who read The Hindu 1 there are 3 people who read both of them. Further, the number of people who read both of them is same as those who read neither of them.
How many people read only Times of India'?
Answers
Answer:
Explanation:
First of all calculating the number of subscribers for each newspaper;
No. of people who subscribed to The Hindu = (60*80)/100 = 48.
No. of people who subscribed to Regional Newspaper = (80*80)/100 = 64.
No. of people who subscribed to TOI = (70* 80)/100 = 56.
Total number of newspapers subscribed by all residents = 48+64+56 which is = 168.
Now to find the least case
Assume a scenario in which we have 168 newspapers in hand, which are to be distributed among 80 residents or families. First we give each resident a newspaper each. Now we are left with 88( 168 -80) newspapers. We now distribute a second newspaper to each resident. This leaves us with 8( 88-80) newspapers left in hand to be distributed. Which means 8 residents or families have to subscribe to 3 newspapers each, in order for us to be able distribute all 168 newspapers among the 80 residents. Hence the answer is 8. :)
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