The Poona Sarvajanik Sabha, the correct answer, was an organization in British India that submitted a petition in 1875 to the House of Commons demanding India`s direct representation in the British Parliament, indicating a desire for more active participation in the governance of India.

Option 1, The Deccan Association, an alternative on the list, was focused more on social and educational reforms in the Madras Presidency, not political representation at the British Parliament.

Option 2, The Indian Association, was a pioneering nationalist organization, founded in Bengal in 1876, and focused on uniting Indians across caste and religious lines to work towards decolonization, but it didn`t submit any petition for parliamentary representation.

Lastly, option 3, The Madras Mahajan Sabha, was a political organization established in 1884 in Madras, India, to help express political views of the educated middle-class public of the Madras people. However, there`s no record of this organization submitting a petition for direct representation at the British Parliament.