If 30% of x is equal to five-sixth of y. Find x : y

Correct option is A

Given:

$$30\% \text{ of } x = \dfrac{5}{6} \text{ of } y$$​​

Solution:

​$$30\% \text{ of } x = \dfrac{5}{6} \times y$$​

$$\dfrac{30}{100} \times x = \dfrac{5}{6} \times y \\ \ \\\dfrac{3}{10} \times x = \dfrac{5}{6} \times y \\ \ \\3 \times 6 \times x = 10 \times 5 \times y \\ \ \\ 18x = 50y \\ \ \\\frac{x}{y} = \dfrac{50}{18} = \dfrac{25}{9}$$​