Directions for question:
The result of a survey conducted by the Municipal Corporation of Kolkata about the professions pursued by the resident adult population in Borough XIV, Ward 128, of Kolkata yielded the following result expressed as a pie-chart :
On further detailed survey on the mother-tongue of the residents, it was revealed that out of the doctors, the count of mother-tongue when expressed in a pie-chart was as follows :
It was found that only 9 Doctors had Assamese as their mother tongue.
Question:
By dint of the survey it was found that 11% of all the residents in Borough IV, Ward 128 in Kolkata were having their mother-tongue as Hindi. What could be the largest possible fraction of the Sales professionals in Borough IV, Ward 128 in Kolkata whose mother tongue was Hindi ?
37/55
-
-
-
From the first question,
The number of Doctors in Borough IV, Ward 128 in Kolkata = 180
Thus 18% of the adult population = 180
So 100% of the adult population = (180/18)*100 = 1000
From the first pie-chart,
The percentage of the adult population who were Sales professionals = 14%
Thus, the number of Sales professionals in Borough IV, Ward 128 in Kolkata = (14/100)*1000 = 140
The total number of adult population in Borough IV, Ward 128 in Kolkata who were having their mother-tongue as Hindi
= (11/100)*1000
= 110
Out of the above, the number of Doctors with mother-tongue as Hindi were = (20/100)*180 = 36
It can be possible that nobody in the other professions except Sales had a mother-tongue as Hindi.
Thus the maximum possible Sales professionals with mother-tongue as Hindi = 110 – 36 = 74
Hence, the largest possible fraction of the Sales professionals in Borough IV, Ward 128 in Kolkata whose mother tongue was Hindi
= 74 : 110
= 74/110
= 37/55