If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 300%, the resultant fraction is 5/18. What is the original fraction?

Question: If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 300%, the resultant fraction is 5/18. What is the original fraction?

Solution:
Let the original fraction be x/y.

Numerator increased by 150% = x + 150% of x
= x + (150x/100)
= x + 1.5x
= 2.5x

Denominator increased by 300% = y + 300% of y
= y + (300y/100)
= y + 3y = 4y

According to the question,
2.5x/4y = 5/18
⇒ x/y = (5/18) × (4/2.5)
⇒ x/y = (5 × 4)/(18 × 2.5)
⇒ x/y = 20/45
⇒ x/y = 4/9

The original fraction is 4/9.

সঠিক উত্তর: ক) 4/9