Totally how many doctors in that group ........

Quantitative Aptitude ( CCS) Case Studies

In a group of 520 students(male and female).Three fifth of them are males.50% of males are graduates, in that 15% of males are Doctors, 27% of males are arts & science graduates, 30% of total students are engineer graduates. Arts & science graduates of Male and Female are in the ratio 7:8. 45% of females are non graduates.

Totally how many doctors in that group ?

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Explanation:

Explanation :
Male = 3*520/5 = 312
Graduates = 50*312/100 = 156
Non Graduates = 312 – 156 = 156
Doctor = 15*156/100 = 23
Arts = 27*156/100 = 42
Er = 156 – 65 = 91
Female = 520 – 312 = 208
Non graduates = 45*208/100 = 94
Er total = 30*520/100 = 156
Female Er = 156 – 91 = 65
Arts = 7x:8x
7x = 42=> x = 6
8x = 48
Female arts = 48
Female Doctors = 114-48-65 =1

total doctors= 23+1 = 24