The ratio of number of girls to boys in a school of 4860 students is 53:55. How many more girls should be admitted to make the ratio 1:1?

Correct option is A

Ans. (a)
Sol. Let's assume the number of boys in the school is B and the number of girls is G. We are given the ratio G : B = 53 : 55 and the total number of students is 4860.
From the ratio, we can calculate the actual number of boys and girls:
· G/B = 53/55
· Let the total number of students be 4860, so: G + B = 4860 Solving for G and B, we get: G = (53/108) * 4860 = 2340 B = (55/108) * 4860 = 2520
Now, to make the ratio 1 : 1, we need to equalize the number of boys and girls. The number of girls needs to be increased to match the number of boys, so:
· New number of girls = 2520 (same as the number of boys).
· The number of additional girls needed is: 2520 - 2340 = 180 girls.
Therefore, the correct answer is (a) 88.