Basket options have multiple underlying assets which makes these options more complicated. The simplest form of options assumes that there is no correlation among assets. The presence of correlation increases the complexity of the model and also the solution. In this paper, we present valuations of the options using homotopy perturbation methods (HPM) and finite difference methods (FDM). We compare the analytic approximation method and numerical methods with the analytical solutions. We found that the HPMs provide better solutions than the numerical methods. The presence of correlation affect the price of basket options as the positive correlation will lead to higher volatility and higher price. On the other hand, the negative correlation results in the lower volatility and the price due to the offsetting profits between the loss and the gain of the underlying assets.