Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.

Problem: one - third of rahul ' s savings in national savings certificate is equal to one - half of his savings in public provident fund. if he has rs. 1, 90,000 as total savings, how much has he saved in public provident fund ?
Options: a. 80000, b. 60000, c. 50000, d. 76000, e. 90000
d