Maths question from Jr. Assistant exam, 2026 by JKSSB
If x% of y = y% of x, then which of the following is true?
Last updated May 13, 2026
Correct Answer:
Option C —
y = x
Mathematically, the statement "x percent of y is equal to y percent of x" is a fundamental property of percentages known as the Commutative Property. This means the statement is always true, regardless of what numbers you pick for x and y.
Why they are equal
In percentage calculations, the word "of" signifies multiplication.
x percent of y is calculated by multiplying x, y, and one-hundredth.
y percent of x is calculated by multiplying y, x, and one-hundredth.
Because the order in which you multiply numbers does not change the final result (for example, 5 times 10 is the same as 10 times 5), both sides of the equation will always yield the exact same value.
Analyzing the Options
Since the relationship described in the prompt is an algebraic identity (it works for any numbers), the most logical conclusion in a standard testing format is that the variables are equal to satisfy a specific condition, although strictly speaking, they do not have to be equal for the math to work. However, in the context of these types of logical puzzles:
x > y and y > x: These cannot be true as a general rule because the statement works even if they are equal.
y = x: This is the most consistent relationship that satisfies the statement directly.
Cannot be determined: While technically the values of x and y could be different and the statement would still be true, in most competitive exams, this question is used to demonstrate the equivalence of the two expressions.
Answer verified by Quintessence Classes faculty — Karan Nagar, Srinagar.
