NIMCET 2020 — Reasoning PYQ

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Question

NIMCET 2020 — Reasoning PYQ

NIMCET | Reasoning | 2020

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

Choose the correct answer:

Explanation

Given:
Increase in numerator = 25%
Decrease in denominator = 20%
New value = 5/4
Concept used:
x% increase = (100 + x)/100
x% decrease = (100 – x)/100
Calculation:
Let the original fraction be x/y.
Change in numerator = (100 + 25)/100 = 5/4
Change in denominator = (100 – 20)/100 = 4/5
⇒ (x × 5/4)/(y × 4/5) = 5/4
⇒ (5x × 5)/(4y × 4) = 5/4
⇒ 25x/16y = 5/4
⇒ x/y = 4/5
∴ The original value of the fraction is 4/5.