In a college, the ratio of boys to girls is 31 : 23 respectively. When 75 more girls join the college, this ratio becomes 124 : 107. How many more girls should join the college to make the number of boys and girls equal?
In a college, the ratio of boys to girls is 31 : 23 respectively. When 75 more girls join the college, this ratio becomes 124 : 107. How many more girls should join the college to make the number of boys and girls equal?
A75
B90
C60
D85
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Correct answer is: 85
Explanation:
Let the number of boys initially = 31x
=> Number of girls = 23x
Acc to ques,
\(= \frac{31x}{23x + 75} = \frac{124}{107}\)
= 3317x = 2852x + 9300
= 3317x - 2852x = 465x = 9300
\(x = \frac{9300}{465} = 20\)
=> Number of boys = \(31 \times 20 = 620\)
Number of girls = \(23 \times 20 + 75 = 535\)
\(\therefore \) Number of girls who should join the college to make number of boys and girls equal
= 620 - 535
= 85
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