In recent years, many scholars have paid attention to find the solution of advance problems of engineering and sciences by using integral transforms method. In this paper, application of Shehu transform is given for handling growth and decay problems. These problems have much importance in the field of economics, chemistry, biology, physics, social science and zoology. We have given some numerical applications to demonstrate the effectiveness of Shehu transform for handling growth and decay problems. Results prove that Shehu transform is quite useful for handling growth and decay problems.