Question

12. In a group of people, 30% speak Tamil, 35% speak Telugu and 27% speak both Tamil and Telugu. Find: (i) the percentage of people who speak either Tamil or Telugu. (ii) the percentage of people who speak neither of these.​

Answer 1

Answer:

Total people=70

5 people can't speak any language.

∴ number of people speak=70−5=65

A=Number of people speak hindi=31

B=Number of people speak bengali=33

C=Number of people speak telugu=32

A∪B=16,A∪C=14,B∪C=15

A∪B∪C=A+B+C−A∩B+B∩C−A∩C+A∩B∩C

65=31+33+32−16−14−15+A∩B∩C

A∩B∩C=14

Number of people speak all language=14