Question

If 6 boys were admitted and 6 girls left , then the percentage increase of boys wer from 60% to 75% . Find the total no. Of boys and girls

Answer 1

Answer:

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Let the number of boys and girls be x and y respectively.

Percentage of boys = 60%.

⇒ x / (x + y) = 60/100

⇒ 100 x = 60x + 60y

⇒ 40 x - 60 y  = 0 ....(1)

6 boys were admitted ⇒ number of boys = (x + 6)

Percentage of boys = 75%

⇒ (x + 6) / (x + 6)+(y - 6) = 75/100

⇒ x - 3y = -2..... (2)

Solving equations (1)and (2), we get,

x = 24, y = 16.

Ans-:Therefore, original number of boys and girls are 24 and 16

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