What s the rato of the total number of girls to the total number of boys in a college ?
I. There are 2000 students in the college out of which `40%` are girls.
II. The ratio of the total number of bous to the total number of girls in the last year was `5:5.`

Options

A. The Statement A alone is sufficient to answer the question, but the Statement B alone is not sufficient.
B. The statement B aone is sufficient to answer the questions. But the Statements A alone is not sufficient.
C. Both Statement A and B together are needed to answer to question.
D. You cannot get the answer from the statements A and B together, but need even more data.

Answer

A

Explanation

Our aim is to calculate the ratio of the total number of girls to the total number of boys in a collage.
From statement A,
There are 2000 students in the college out of which `40%` are girls.
`implies` Number of girls `=40/100xx2000=800`
Thus, number of boys `=2000-800=1200`
Ratio of number of boys to the total number of girls in a college `=1200:800`
`implies` Ratio of number of boys to the total number of girls in a college `=3:2`
So, statement A is sufficient to reach at the solution. From statement B,
The ratio of the total number of boys to the total number of girls in the last year was `5:5`
Here, only last year ratio is given but this data is not sufficient to calculate rat io of number of girls to the total number of boys in a colleage.
So, S tatement B alone is not sufficient to reach at teh solution.