If the numerator of a fraction is increased by 25% and denominator decreased by 20%, the new value is 5/4. What is the original value?

Let the original fraction be N/D.

According to the problem:

• Numerator is increased by 25% → New numerator = 1.25N
• Denominator is decreased by 20% → New denominator = 0.8D

So, new fraction =
(1.25N) / (0.8D) = 5/4

Simplify:
(1.25 / 0.8) × (N/D) = 5/4
(1.25 ÷ 0.8) = 1.5625 = 25/16

⇒ (25/16) × (N/D) = 5/4

⇒ N/D = (5/4) × (16/25)
= 80 / 100
= 4/5

✅ Final Answer: The original fraction = 4/5