JAMIA 2026 — Reasoning PYQ

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Question

JAMIA 2026 — Reasoning PYQ

JAMIA | Reasoning | 2026

A number is decreased by $20%$ and then increased by $x %$ . What value of $x$ will leave the number unchanged?

Choose the correct answer:

Explanation

Method 1: Let's Assume the Initial Number is 100

Let the original number be $100$ .

Step 1: Decrease the number by $20%$
$New Number = 100 - (20% of 100) = 100 - 20 = 80$
Step 2: Increase the new number by $x %$ to bring it back to $100$
To make the number $80$ back to $100$ , the required increase in value is:
$Required Increase = 100 - 80 = 20$
Step 3: Calculate the percentage increase ( $x$ ) based on the new number ( $80$ )
$x = (\frac{Required Increase}{Current Number}) \times 100$

$x = (\frac{20}{80}) \times 100$

$x = \frac{1}{4} \times 100 = 25%$