Question

Choose the correct option:-
x% of y is y% of:
A. \[x\]
B. \[100x\]
C. \[10x\]
D. \[5x\]

Answer 1

Hint: The value of a% of b is given by \[\dfrac{a}{{100}} \times b\]. Use multiplicative commutative property to solve this problem.

Complete step-by-step answer:
Consider, \[x\% \] of \[y\] i.e., \[\dfrac{x}{{100}} \times y = \dfrac{{xy}}{{100}}\]
Let us assume that \[x\% \] of \[y\] is \[y\% \] of \[x\].
So, \[y\% \] of \[x\] i.e., \[\dfrac{y}{{100}} \times x = \dfrac{{yx}}{{100}}\]
By using multiplicative commutative property, we have \[\dfrac{{xy}}{{100}} = \dfrac{{yx}}{{100}}\].
Hence our assumption is correct.
Therefore, \[x\% \] of \[y\] is \[y\% \] of \[x\].
Thus, the correct option is A. \[x\]

Note: The commutative property of multiplication tells us that it doesn’t matter in what order you multiply numbers. The formula of this property is \[a \times b = b \times a\].