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?

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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

Nithin ? undefined

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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A 280 metres long train, travelling at a uniform speed, crosses a platform in 60 seconds and a man standing on the platform in 20 seconds. What is the length of the platform ?

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A 280 metres long train, travelling at a uniform speed, crosses a platform in 60 seconds and a man standing on the platform in 20 seconds. What is the length of the platform ?

A640 metres

B560 metres

C280 metres

DCannot be determined

akilesh kharvi ? Jun 7 '2020 at 16:45

Correct answer is: 560 metres

Explanation:

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