The present ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the numbers of teachers were to increase by 5, the ratio of students would then be 25 to 1. What is the present number of teachers?
Solution
Correct Answer: Option D
মনে করি, ছাত্র সংখ্যা = x
এবং শিক্ষক সংখ্যা = y
প্রশ্নমতে, x:y = 30:1
⇒x/y= 30/1
⇒x=30y....(i)
আবার,x+50 : y+5 =25:1
⇒(x+50)/(y+5) = 25/1
⇒x+50 = 25y + 125
⇒ 30y + 50 = 25y +125
⇒ 5y = 75
⇒y=15
শিক্ষক সংখ্যা = 15 জন
এবং শিক্ষক সংখ্যা = y
প্রশ্নমতে, x:y = 30:1
⇒x/y= 30/1
⇒x=30y....(i)
আবার,x+50 : y+5 =25:1
⇒(x+50)/(y+5) = 25/1
⇒x+50 = 25y + 125
⇒ 30y + 50 = 25y +125
⇒ 5y = 75
⇒y=15
শিক্ষক সংখ্যা = 15 জন
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