If the numerator of a fraction is increased by 200% and the denominator is increased by 300%, the resultant fraction is 15/26. What was the original fraction?

Question: If the numerator of a fraction is increased by 200% and the denominator is increased by 300%, the resultant fraction is 15/26. What was the original fraction?

Solution:
Let the fraction be x/y

Then,
(x + 200% of x)/(y + 300% of y) = 15/26
⇒ (x + 2x)/(y + 3y) = 15/26
⇒ 3x/4y = 15/26
⇒ x/y = (15/26) × (4/3)
∴ x/y=10/13