Quentin put an amount of money into each of two new investments, \(X\) and \(Y.\) Investment \(X\) pays \(x\%\) simple annual interest and investment \(Y\) pays \(y\%\) simple annual interest. After \(1\) year, the average (arithmetic mean) interest earned by investments \(X\) and \(Y\) was \(7.6\%.\) If \(x\) and \(y\) are consecutive positive integers, in that order, what fraction of the total amount was put in investment \(X?\)

A. \(\dfrac15\)

B. \(\dfrac13\)

C. \(\dfrac25\)

D. \(\dfrac35\)

E. \(\dfrac23\)

Answer: C

Source: GMAT Club Tests