Convergence of series from a comparison of two series

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If $\frac{x_{n+1}}{x_{n}} \le \frac{y_{n+1}}{y_{n}}$ for sufficiently large $n$ and $\sum{y_n}$ is convergent then we have to show $\sum {x_n}$ is convergent.

I am kind of stuck in thinking. Any hint will be appreciated. Thank you