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Grade 12th pass9 grade maths

A certain city of 15000 families, 3.5% of families who read A but not B look into advertisement, 25% of the families who read B but not A look into advertising and 50% of the families, who read both A and B look into advertisements. It is known that 8000 families read A.4000 read B.1000 read both A and B. Choose the correct answer The number of families who look into advertisements (1) 1295 (2) 1395 (3) 1495 (4) 1500

Profile image of Harshit Singh
4 Years agoGrade 12th pass
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1 Answer

Profile image of Harsh Vipul Shah
4 Years ago
In the city, 8000 families read A, 4000read B & 1000 read both A and B.
 
   ∴ |A| = 7000 |B| = 3000 |A∩B| = 1000
 
    3.5% of families who read A = = 245
 
    25% of the families who read B = = 750
 
    50% of the families read both A and B = = 500
 
∴ number of families who look into advertisements
 
   i.e. |C| = 245 + 750 + 500
 
     |C| = 1495