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In this paper, a singularly perturbed ordinary differential problem with discontinuous coefficient of the first space derivative is considered. The problem has a turning point and a weak interior layer near the discontinuous data. The scheme is generated by Petrov-Galerkin method, which is exponentially fitted in the x-direction. In order to approximate the discontinuous data, a special technique is used. In this way we successfully deal with the discontinuous data. The Petrov-Galerkin scheme is proven to be first-order uniformly convergent in x direction with equidistant partition.