The difference of two positive numbers is 1020. If 7.6% of the greater number is 12.4% of the smaller number, then the sum of the two numbers is equal to:

Let the two numbers are $$a$$ and $$b$$.

Difference between numbers = 1020

$$\Rightarrow$$  $$a - b = 1020$$ .........(1)

According to the problem,

$$\frac{7.6}{100}a=\frac{12.4}{100}b$$

$$\Rightarrow$$  $$a=\frac{31}{19}b$$

Substituting $$a=\frac{31}{19}b$$ in equation (1)

$$\frac{31}{19}b-b=1020$$

$$\Rightarrow$$  $$\frac{12}{19}b=1020$$

$$\Rightarrow$$  $$b=1615$$

$$\Rightarrow$$  $$a=\frac{31}{19}b=\frac{31}{19}\times1615=2635$$

$$\therefore\ $$Sum of the numbers = 1615 + 2635 = 4250

Hence, the correct answer is Option D