Question

Question 42 If A = x% of y and B = y% of x, then which of the following is true?

(c) Relationship between A and B cannot be determined.

(a) A is smaller than B.

(b) A is greater than B

• A. (a) A is smaller than B.
• B. (b) A is greater than B
• C. (c) Relationship between A and B cannot be determined.
• D. (d) None of these

Answer 1

The correct option is (d) None of these

$$\begin{gathered} A=x\%ofy \\ \therefore A=\frac{x}{100}\times y=\frac{xy}{100} \end{gathered}$$

Similarly,

$$\begin{gathered} B=y\%ofx \\ \therefore B=\frac{y}{100}\times x=\frac{xy}{100} \end{gathered}$$

Hence, $A=B$ for any value of $x$ and $y$.