There are 900 students in a college, divided into categories A, B, and C. The ratio of students in only A, only B, and only C is 2 : 3 : 5 respectivel...

Question

There are 900 students in a college, divided into categories A, B, and C. The ratio of students in only A, only B, and only C is 2 : 3 : 5 respectively. The number of students in all three categories is 50% of the number of students in only C. The sum of students in only B & C (but not A) and only A & C (but not B) is 155. The number of students in A & B (but not C) is 30 less than the number of students in only B.

If 30% of students in only category A are boys, find the total number of girls in only category A.

Options

A.

56

B.

70

C.

49

D.

72

E.

80

ratioproportionsetspercentageword problem

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