Directions : The following questions are based on the information given below. Study the following information carefully to answer the questions.

In a school students have options to read only Hindi or only Sanskrit or both Hindi and Sanskrit. Of 175 students in the school the ratio of boys and girls is $3: 4$ respectively. $40 \%$ of boys opted for Hindi only. $44 \%$ of students opted for Sanskrit only. 32\% of total girls opted for both Sanskrit and Hindi. The number of boys opting for Sanskrit only and that in both Hindi and Sanskrit are in the ratio $2: 1$ respectively.

How many girls opted for Sanskrit only?

(1) 72

(2) 47

(3) 51

(4) 77

(5) None of these