QUESTION

# If 10% of x = 20% of y, then x: y is equal toA. 1: 2B. 2: 1C. 5: 1D. 10: 1

Hint:The value of 10% of x =${\dfrac{{10}}{{100}} \times x}$ and the value of 20% of y =${\dfrac{{20}}{{100}} \times y }$. Equate these equations to find the ratio x: y.
${\dfrac{{10}}{{100}} \times x}$ = ${\dfrac{{20}}{{100}} \times y }$
$x \times \dfrac{1}{{10}} = y \times \dfrac{2}{{10}} \\ \Rightarrow x = 2y \\ \Rightarrow \dfrac{x}{y} = \dfrac{2}{1} \\ \Rightarrow x:y = 2:1 \\$
Note – Whenever such types of questions appear, then write the things given in question. Using the condition, 10% of x = 20% of y, and converting it in the form ${\dfrac{{10}}{{100}} \times x}$ = ${\dfrac{{20}}{{100}} \times y }$, solve it and find the ratio of x: y.