In a school, ratio of number of boys to that of girls was 6 : 5. In the next year, number of boys increased by 20% and number of girls increased by 10% resulting in an increase of 119 students in the school. How many students were there in the school initially?
Answer & explanation
Correct answer: option 3
ratio of number of boys to that of girls was 6 : 5
Assume total Students be x
B = 6x/11 and G = 5x/11
New B (20% more) = 1.2* 6x/11 = 7.2x/11
New G (10% more) = 1.1* 5x/11 = 5.5x/11
(7.2x+5.5x)/11 = x + 119
12.7x = 11x+1309
1.7x = 1309
11.7x = 119
x = 770
The correct answer is Option (3) → 770