the population of a village is 15000 among them 9000 read kantipur 7500 read gorkhapatra and 40 %read both magazine find the percentage of the people who don't read both the magazine
Answers
Answer:
Step-by-step explanation:
n(c) =9000
n(G)=7500
n(AunionB)= n(c)+n(G)-n(cintersectionG)
=9000+7500-6000
10,500
=15000
n(A union)=15000-10500
4500=30%
Percentage of the people who don't read both the magazine is 30%
Given:
Population of village = 15000
People reading Kantipur = n(k) = 9000
People reading Gorkhapatra = n(g) = 7500
People reading both = n (g + k) = 40%
To Find:
Percentage of the people who don't read both the magazine
Solution:
Number of people reading both = 40%,
Therefore -
40% of 15,000
= 40/100 × 15,000
= 6,000
Now,
Total number of people reading -
= n(k) + n(g) -n(k + g)
= 9000 +7500 -6000
= 9000 + 1500
= 10,500
The population who do not read = Total population - People who are reading
= 15000 - 10500
= 4500
Percentage population who do not read both -
= 4,500/15,000 × 100
= 450/15
= 30%
Answer: Percentage of the people who don't read both the magazine is 30%