In a survey of a group of people, it was found that 70% of the people liked folk songs, 60% liked modem songs and 4000 people liked both of them. If 10% liked none of them then, (i) । Draw a Venn diagram to illustrate the above information. (ii) । Find the total number of people in the survey. (ii) । Find the number of people who like folk
Answers
Step-by-step explanation:
Total people in survey = 10000
Number of people who like folk song only = 3000
Step-by-step explanation:
10% like none, thus 90% like atleast anyone of them.
Let the total number of people in survey be x.
90x/100 = 70x/100 + 60x/100 - 4000
40x/100 = 4000
x = 400000/40
x = 10000
Total number if people who like folk songs = 70*10000/100
= 7000
Number of people who like folk song only = 7000
Answer:
Let N = number of people surveyed.
Let F = those who like folk songs.
Let M = those who like modern songs.
Let f = those among F who also like modern songs.
Let m = those among M who also like folk songs.
f+m = 4,000.
(0.7)*N+(0.6)*N+(0.1)*N = (1.4)*N.
F+M+(0.1)*N = N.
F+M = (0.9)*N
F+M+f+m+(0.1)*N = (1.4)*N.
(0.9)*N+4,000+(0.1)*N = (1.4)*N.
4,000 = (1.4–0.9–0.1)*N.
N = 4,000/(0.4) = 10,000.
Step-by-step explanation:
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