Here's what the CPT syllabus covers, and why the content is so important
Provides a firm understanding of the principles of accounting, and its application to certain types of business transactions. A strong accounting background and a firm understanding of its relationship to business are critical for conducting any kind of financial and business analysis. This is at the absolute core of any chartered accountancy practice.
Covers the laws applicable in India with respect to entering into a contract in general. Mercantile Law also comes into the picture specifically for sale-of-goods transactions and during the process of entering into partnerships. A good general understanding of business law is imperative if you wish to serve as a successful business advisor.
Deals with i) the macro-economic environment in India, and its relevance/impact on economic growth; and ii) the micro-economic laws relevant to companies with respect to demand and supply of goods, pricing of goods and services, etc. You will succeed as a business advisor only if you can relate to the underlying economics of the business.
Generally, a foundation in mathematics is critical for developing strong analytical skills; and practically, for its application in most aspects of modern finance. As irrelevant as you think it might be, it is not! Superior aptitude in quantitative techniques and their application will pay rich dividends throughout your career.