Q. In a city, 80% speaks English, 70% speaks Hindi and 10% do not speak both. It was found that 162 people talk both. How many are there in the city?

• I feel, It should be 10% speak neither of the languages.
  As 10% speak neither, 90% population speak one of the languages.
  
  A union B = 90%, A= 80% B= 70%
  
  A intersection B = 60%
  60% of total population is given as 162
  Total population = 162*100/60 = 270
  
  Answer is 270
  
• 11 years agoHelpfull: Yes(23) No(4)
• It should be 10% speak neither of the languages.
  As 10% speak neither, 90% population speak one of the languages.
  
  A union B = 90%, A= 80% B= 70%
  
  A intersection B = A+B-A UNION B=80%+70%-90%=60%
  60% of total population is given as 162
  Total population = 162*100/60 = 270
  
• 10 years agoHelpfull: Yes(6) No(1)
• English Speaking - 80% , not speaking - 20%
  Hindi Speaking - 70% , not speaking - 30%
  people not speaking English+Hindi = 20+30=50
  people do not speak both as given = 10
  50-10=40--- so 40% does not speak 1 language or speaks only one language
  hence 100-40 = 60% can speak both the languages
  60=>162
  100=>??
  on solving
  162*100/60= 270
  so there are total 270 people in city
• 9 years agoHelpfull: Yes(0) No(0)