1. Commercial Mathematics
(i) Goods and Services Tax (GST)
Computation of tax including problems involving discounts, list-price, profit, loss, basic/cost price including inverse cases. Candidates are also expected to find price paid by the consumer after paying State Goods and Service Tax (SGST) and Central Goods and Service Tax (CGST) - the different rates as in vogue on different types of items will be provided. Problems based on corresponding inverse cases are also included.
(ii) Banking
Recurring Deposit Accounts: computation of interest and maturity value using the formula:
(iii)Shares and Dividends
(a) Face/Nominal Value, Market Value, Dividend, Rate of Dividend, Premium.
(b) Formulae
- Income = number of shares rate of dividend FV.
- Return = (Income / Investment) 100.
Note: Brokerage and fractional shares not included.
- Factorisation
- Using Formula.
(c) Solving simple quadratic equation problems.
(iii)Ratio and Proportion
(a) Proportion, Continued proportion, mean proportion
(b) Componendo, dividendo, alternendo, invertendo properties and their combinations.
(c) Direct simple applications on proportions only.
(iv) Factorisation of polynomials:
(a) Factor Theorem.
(b) Remainder Theorem.