You got 25/36 after you increased the numerator of a fraction by 50% and decreased the denominator by 28%. What was the original fraction?

Question: You got 25/36 after you increased the numerator of a fraction by 50% and decreased the denominator by 28%. What was the original fraction?

Solution:
মনে করি, মূল ভগ্নাংশটি = x/y

শর্তমতে,
লব (x) কে 50% বৃদ্ধি করলে হয় = x + 50% of x = 1.5x
হর (y) কে 28% হ্রাস করলে হয় = y - 28% of y = 0.72y

প্রশ্নমতে,
1.5x/0.72y = 25/36
⇒ x/y = (25/36) × (0.72/1.5)
⇒ x/y = (25/36) × (72/150)
⇒ x/y = (25/150) × (72/36)
⇒ x/y = (1/6) × 2
⇒ x/y = 2/6
∴ x/y = 1/3

অতএব, মূল ভগ্নাংশটি ছিল 1/3