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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
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?
Solution
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
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