When 60% of a number is subtracted from another number, the second number reduces to its 52%, the ratio of the first number to the second number is :

Answer: Option D

Let the first and second number is a and b respectively,
b - $$\frac{60a}{100}$$ = $$\frac{52b}{100}$$
b - $$\frac{52b}{100}$$ = $$\frac{60a}{100}$$
$$\frac{48b}{100}$$ = $$\frac{60a}{100}$$
4b = 5a
$$\frac{a}{b}$$ = $$\frac{4}{5}$$
⇒ a : b = 4 : 5