These are various benefits of implementing balanced score card in the organisation. The Balanced Scorecard Institute also have a same point of view and they have given few reasond for the same. I hope that these will also make to implement these in your organisation.

Lets take a look at these reasons:

1. It improves the bottom line by reducing process cost and improving productivity and mission effectiveness.
2. A performance measurement system allows an agency to align its strategic activities to the strategic plan. It permits -- often for the first time -- real deployment and implementation of the strategy on a continuous basis. 
3. Measurement of process efficiency provides a rational basis for selecting what business process improvements to make first.
4. It allows managers to identify best practices in an organization and expand their usage elsewhere.
5. The visibility provided by a measurement system supports better and faster budget decisions and control of processes in the organization. This means it can reduce risk.
6. Visibility provides accountability and incentives based on real data, not anecdotes and subjective judgements. This serves for reinforcement and the motivation that comes from competition.
7. It permits benchmarking of process performance against outside organizations.
8. Collection of process cost data for many past projects allows us to learn how to estimate costs more accurately for future projects.
9. If you are in a US Federal agency, it's the law. The Government Performance and Results Act of 1993 requires a strategic plan, and a method of measuring the performance of strategic initiatives.
10. It can raise you agency's Baldrige score, which can serve to increase its long-term chances of survival.

These are only a few reasons but this could increase with the passing of time. So make sure that you not only attain these advantages but also get some more for you.