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When 6 boys were admitted and 6 girls left the percentage of boys increased from 60 percent to 75 percent

Posted by Gourav Siddesh 3 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Khushi Sharma 3 years, 4 months ago

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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