There are four hostels: A, B, C, and D. In hostel A, the number of boys is 120, and the number of girls is 30% more than the number of girls in hostel...

Question

There are four hostels: A, B, C, and D.

  • In hostel A, the number of boys is 120, and the number of girls is 30% more than the number of girls in hostel B.
  • In hostel B, the number of boys is twice the number of girls.
  • In hostel C, the number of boys is 100 more than the number of boys in hostel A, and the total number of boys and girls is 1000.
  • In hostel D, the number of boys is 182 more than the number of boys in hostel A. The average number of girls in hostels A and D is 223. The number of boys in hostel D is 98 less than the number of boys in hostel B.

Question:

Find the ratio of the total number of boys and girls in hostel B to that in hostel C.

Options

A.

3:5

B.

2:5

C.

3:4

D.

4:5

E.

6:5

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