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About Commercial Mathematics (Banking & GST) — Class 10 ICSE

Solve problems on banking (recurring deposits, fixed deposits), GST, and shares. This topic is part of the ICSE Class 10 mathematics syllabus (chapter: Chapter 1). On this page you can practice 60 questions across three difficulty levels — 20 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Commercial Mathematics (Banking & GST)

  • Revision: Simple and Compound Interest
  • GST: Goods and Services Tax
  • GST: Input Tax Credit and Billing
  • Banking: Recurring Deposits
  • Banking: Fixed Deposits and Practical Applications

Interactive lesson · about 20 minutes · checkpoint question after every unit

Commercial Mathematics (Banking & GST) — solved examples for Class 10 ICSE

Example 1easy

A shopkeeper buys an article for Rs 500 and sells it for Rs 600. What is his profit percentage?
  1. A)10%
  2. B)15%
  3. C)20%
  4. D)25%

Step-by-step solution

  1. Find the profit:
    Profit=SP−CP=600−500=Rs100Profit = SP - CP = 600 - 500 = Rs 100
  2. Calculate profit percentage:
    ProfitProfit % = (100 / 500) x 100 = 20%

Answer: 20%

Example 2medium

A manufacturer in Mumbai sells goods worth Rs 50000 to a dealer in Mumbai. The dealer then sells it to a consumer for Rs 65000. If GST is 12%, what is the tax (GST) paid by the dealer to the government?
  1. A)Rs 1800
  2. B)Rs 6000
  3. C)Rs 7800
  4. D)Rs 1200

Step-by-step solution

  1. Input tax (GST paid on purchase):
    =12= 12% of 50000 = Rs 6000
  2. Output tax (GST collected on sale):
    =12= 12% of 65000 = Rs 7800
  3. Tax paid to government:
    =Outputtax−Inputtax=7800−6000=Rs1800= Output tax - Input tax = 7800 - 6000 = Rs 1800

Answer: Rs 1800

Example 3hard

A manufacturer sells goods to a wholesaler for Rs 40000. The wholesaler sells to a retailer at a profit of 20%, and the retailer sells to a consumer at a profit of 10% on his cost. If GST is 12%, find the price paid by the consumer (including GST).
  1. A)Rs 52800
  2. B)Rs 59136
  3. C)Rs 55440
  4. D)Rs 60000

Step-by-step solution

  1. Wholesaler's SP:
    =40000+20= 40000 + 20% of 40000 = Rs 48000
  2. Retailer's SP:
    =48000+10= 48000 + 10% of 48000 = Rs 52800
  3. GST on consumer's purchase:
    =12= 12% of 52800 = Rs 6336
  4. Price paid by consumer:
    =52800+6336=Rs59136= 52800 + 6336 = Rs 59136

Answer: Rs 59136

Practice questions on Commercial Mathematics (Banking & GST)

  1. Q1.easy

    The marked price of a shirt is Rs 1200. A discount of 10% is given. What is the selling price?
    1. A)Rs 1080
    2. B)Rs 1100
    3. C)Rs 1000
    4. D)Rs 1120
    Show answer

    Answer: Rs 1080

    Hint: Selling Price = Marked Price - Discount.

  2. Q2.easy

    GST on a product is 18%. If the listed price is Rs 2000, what is the total amount paid by the consumer?
    1. A)Rs 2180
    2. B)Rs 2360
    3. C)Rs 2200
    4. D)Rs 2400
    Show answer

    Answer: Rs 2360

    Hint: Total amount = Listed price + GST amount.

  3. Q3.easy

    A man deposits Rs 5000 per month in a recurring deposit account for 12 months at 6% p.a. simple interest. What is the total deposit?
    1. A)Rs 50000
    2. B)Rs 55000
    3. C)Rs 60000
    4. D)Rs 65000
    Show answer

    Answer: Rs 60000

    Hint: Total deposit = Monthly installment x Number of months.

  4. Q4.medium

    Ramesh deposits Rs 600 per month in a recurring deposit account for 2 years at 8% p.a. What is the interest earned?
    1. A)Rs 1100
    2. B)Rs 1200
    3. C)Rs 1220
    4. D)Rs 1250
    Show answer

    Answer: Rs 1200

    Hint: Use the RD interest formula: I = P x n(n+1) / (2 x 12) x r/100.

  5. Q5.medium

    A man invests Rs 20000 in buying shares of face value Rs 25 at a premium of Rs 5. The company declares a dividend of 12%. What is his annual income?
    1. A)Rs 1800
    2. B)Rs 2000
    3. C)Rs 2400
    4. D)Rs 3000
    Show answer

    Answer: Rs 2000

    Hint: First find the number of shares, then calculate income using face value.

  6. Q6.medium

    A shopkeeper buys an article for Rs 4000 and marks it at Rs 5000. He gives a discount of 10%. Find the profit percentage.
    1. A)10%
    2. B)12.5%
    3. C)15%
    4. D)25%
    Show answer

    Answer: 12.5%

    Hint: First find SP after discount, then calculate profit %.

  7. Q7.hard

    Ahmed deposits Rs 3000 per month in a recurring deposit for 2 years. At the time of maturity, he receives Rs 77100. Find the rate of interest per annum.
    1. A)8%
    2. B)9%
    3. C)10%
    4. D)12%
    Show answer

    Answer: 10%

    Hint: MV = Total deposit + Interest. Use the RD interest formula and solve for r.

  8. Q8.hard

    A person invests equal sums in two different companies. Company A has Rs 100 shares at Rs 120 paying 10% dividend. Company B has Rs 50 shares at Rs 40 paying 15% dividend. If total annual income is Rs 4600, find the total investment.
    1. A)Rs 24000
    2. B)Rs 36000
    3. C)Rs 40000
    4. D)Rs 48000
    Show answer

    Answer: Rs 48000

    Hint: Let equal investment = x. Express income from each and add.

  9. Q9.hard

    The difference between CI and SI on Rs 15000 for 2 years is Rs 96. Find the rate of interest per annum.
    1. A)6%
    2. B)7%
    3. C)8%
    4. D)9%
    Show answer

    Answer: 8%

    Hint: For 2 years, CI - SI = P(r/100)^2.

These are 9 of the 60 questions available for Commercial Mathematics (Banking & GST). Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.