What the problems cover
The problems follow Commercial Mathematics in the CISCE ICSE Class 10 Mathematics syllabus for the 2027 examination. GST: intra-state sales only, with CGST and SGST, discounts on the list price, a shopkeeper's profit and the inverse cases (the price before GST, the rate from the CGST); the exam-style question is a tax invoice to complete, as in CISCE's 2024 specimen paper. Banking: recurring deposit accounts, the interest, the maturity value, the monthly deposit, the rate and the number of months. Shares and dividends: the investment, the income, the return, premium and discount, and selling one holding to buy another, with no brokerage and whole shares only, as the syllabus says.
GST with input tax credit is an optional topic, kept out of mixed sets: each dealer's tax liability to the central and state governments, as in CISCE's 2024 practice questions. IGST is left out.
Type money as 2500, ₹2,500, Rs. 2,500/- or 2,500.00, and percentages correct to 1 decimal place where they are not exact.
CSEC consumer arithmetic (discount and sales tax, hire purchase, interest, bills and wages) has its own page.
Questions
How do you calculate CGST and SGST on a GST bill?
In an intra-state sale the GST is split equally between CGST and SGST. Take any discount off first, work out the GST on the price after the discount, halve it for CGST and SGST, and add both to that price. A ₹2,000 item at 12% GST carries ₹240 of GST: ₹120 CGST and ₹120 SGST, so the buyer pays ₹2,240.
How do you find the maturity value of a recurring deposit?
The interest is I = P × n(n + 1) ÷ (2 × 12) × r ÷ 100, with P the monthly deposit and n the number of months. The maturity value is P × n + I. For ₹2,000 a month for 12 months at 8%: I = 2,000 × 12 × 13 ÷ 24 × 8 ÷ 100 = ₹1,040, and the maturity value is ₹24,000 + ₹1,040 = ₹25,040.
How do you work out the dividend and the return on shares?
The dividend is a percentage of the face value: annual income = number of shares × rate of dividend × face value. Shares are bought at the market value, so the investment is the number of shares × market value, and the return is income ÷ investment × 100. For 200 shares of face value ₹10 bought at ₹25 with a 12% dividend: income = 200 × 12% × ₹10 = ₹240, investment = ₹5,000, return = 240 ÷ 5,000 × 100 = 4.8%.
How is a dealer's tax liability worked out with input tax credit?
A dealer pays the government the GST charged on the sale minus the GST paid on buying (the input tax credit), half as CGST to the central government and half as SGST to the state government. A retailer buys at a list price of ₹2,500 and sells at 20% more, ₹3,000, with GST at 12%: CGST paid on buying is ₹150, CGST charged on the sale is ₹180, so the tax liability to the central government is ₹30.
Sources, checked 29 October 2026, from copies of the CISCE documents (cisce.org itself did not load): the ICSE Mathematics syllabus for the 2027 examination, the 2024 specimen paper, the 2024 ICSE Mathematics paper and the 2024 Competency-Focused Practice Questions.