If 77% of first number is equal to three-fourths of second number, what is the ratio of first number to the second number?

Correct option is A

Given:

77% of the first number equals $$\frac{3}{4}$$​ of the second number.

Solution:
Let first number = x, second number = y
​$$\frac{77}{100}x=\frac{3}{4}y \\ \ \\\frac{x}{y}=\frac{\frac{3}{4}}{\frac{77}{100}} \\ \ \\=\frac{3}{4}\times\frac{100}{77}\\ \ \\=\frac{300}{308}\\ \ \\=\frac{75}{77}$$

Thus, option (A) is correct.