Question

The ratio of X% of Y to Y% of X is equal to
$A$ $\dfrac{1}{{XY}}$
$
  B{\text{ XY}} \\
  {\text{C }}\dfrac{X}{Y} \\
 $
$D{\text{ 1}}$

Answer 1

Hint: In order to solve this type of question one must follow the ratio method. This method is suitable for comparing mathematical ratios but not with 0. We will also convert percentage into consideration for comparing the ratio.

Complete Step-by-Step solution:
Firstly, we will find value of X% of Y
So,
 X% of y $ = \dfrac{X}{{100}} \times {\text{Y = }}\dfrac{{XY}}{{100}}$
Hence, we get
 X% of Y = $\dfrac{{XY}}{{100}}$

Again we will find Y% of X
So,
Y% of X = $\dfrac{Y}{{100}} \times {\text{X = }}\dfrac{{YX}}{{100}}$
Hence, we will get
 Y% of X $ = \dfrac{{XY}}{{100}}$
Now ratio of X% of Y to Y% of X $ = \dfrac{{X\% {\text{ of Y}}}}{{Y\% {\text{ of X}}}}$
$ \Rightarrow $ $\left( {\dfrac{{\dfrac{{XY}}{{100}}}}{{\dfrac{{XY}}{{100}}}}} \right) = 1$

Note: In order to solve this question one must take care of the comparing ratio that it should not be compared with zero as it will not show the relationship. Also the proportional relationship will be easily calculated and hence we will get the desired result.