Class 10 Maths Chapter 4 Financial Planning Solutions | Maharashtra Board SSC

This page provides complete solutions for Maharashtra Board Class 10 Maths Chapter 4 — Financial Planning. This unique chapter combines real-world financial concepts including GST, Income Tax, Share Market, and Banking with Maths. These are practical life skills as well as exam topics.

Introduction to Financial Planning

Financial planning involves making smart decisions about money — earning, spending, saving, and investing. Chapter 4 teaches four major financial concepts that every citizen needs to understand: GST (taxation on goods/services), Income Tax (tax on earnings), Shares (stock market investment), and Banking (loans, EMI, interest).

šŸ”¢ Financial Planning Key Terms

  • GST = CGST + SGST (for within state) = IGST (for inter-state)
  • CGST = SGST = GST rate / 2
  • Tax amount = (GST% / 100) Ɨ Cost price
  • MRP (Maximum Retail Price) = the printed price
  • Discount = MRP āˆ’ Selling Price
  • Face Value (FV) = value printed on share certificate
  • Market Value (MV) = current buying/selling price of share
  • Dividend = (Dividend% / 100) Ɨ Face Value Ɨ number of shares
  • Yield = (Dividend per share / Market Value) Ɨ 100

GST — Goods and Services Tax

GST is a comprehensive indirect tax levied at every stage of production and sale of goods and services. There are four main GST rates in India: 5%, 12%, 18%, and 28%.

  • CGST — Central GST (collected by Central Government) = half the GST rate
  • SGST — State GST (collected by State Government) = half the GST rate
  • IGST — Integrated GST (for inter-state transactions) = full GST rate

Practice Set 4.1 — GST Solutions

Q: A trader buys goods worth ₹50,000 at 12% GST and sells them for ₹65,000 at 12% GST. Find the GST paid to the government.

Step 1: Input GST (paid while buying): 12% of ₹50,000 = ₹6,000

Step 2: Output GST (collected while selling): 12% of ₹65,000 = ₹7,800

Step 3: GST payable to government = Output GST āˆ’ Input GST

Step 4: = ₹7,800 āˆ’ ₹6,000 = ₹1,800

āœ… Answer: GST paid to government = ₹1,800

Q: A mobile phone costs ₹25,000 (before GST). If GST rate is 18%, find CGST, SGST, and final price.

Step 1: Total GST = 18% of ₹25,000 = ₹4,500

Step 2: CGST = 9% of ₹25,000 = ₹2,250

Step 3: SGST = 9% of ₹25,000 = ₹2,250

Step 4: Final price = ₹25,000 + ₹4,500 = ₹29,500

āœ… Answer: CGST = ₹2,250, SGST = ₹2,250, Final Price = ₹29,500

Q: An AC costs ₹35,000 excluding GST. GST rate is 28%. Find the price a customer pays.

Step 1: GST amount = 28% of ₹35,000 = ₹9,800

Step 2: Customer’s price = ₹35,000 + ₹9,800 = ₹44,800

āœ… Answer: Customer pays ₹44,800

Q: A washing machine has MRP ₹28,000. A shopkeeper gives 10% discount. GST rate is 12%. Find the price paid by customer.

Step 1: Discount = 10% of ₹28,000 = ₹2,800

Step 2: Selling price after discount = ₹28,000 āˆ’ ₹2,800 = ₹25,200

Step 3: GST on selling price = 12% of ₹25,200 = ₹3,024

Step 4: Final price paid = ₹25,200 + ₹3,024 = ₹28,224

āœ… Answer: Customer pays ₹28,224

Income Tax

Income tax is a direct tax paid to the government on income earned. Key concepts for Class 10 include: taxable income, income tax slabs, exemptions, deductions (like Section 80C investments), and computation of net tax payable.

šŸ”¢ Income Tax Key Terms

  • Gross Income = Total income from all sources
  • Net Taxable Income = Gross Income āˆ’ Exemptions āˆ’ Deductions
  • Tax slab 2024: Up to ₹3L = nil; ₹3Lāˆ’6L = 5%; ₹6Lāˆ’9L = 10%; ₹9Lāˆ’12L = 15%; ₹12Lāˆ’15L = 20%; above ₹15L = 30%
  • Education Cess = 4% of total income tax
  • Total tax = Income tax + Education Cess

Practice Set 4.2 — Income Tax Solutions

Q: Mr. Shah’s annual income is ₹7,50,000. He has deductions of ₹1,50,000 under Section 80C. Calculate income tax (using old slab). Old slab: up to ₹2.5L: nil; ₹2.5L–5L: 5%; ₹5L–7.5L: 10%

Step 1: Taxable income = ₹7,50,000 āˆ’ ₹1,50,000 = ₹6,00,000

Step 2: Tax on first ₹2,50,000 = nil

Step 3: Tax on next ₹2,50,000 (₹2.5L to ₹5L) = 5% of ₹2,50,000 = ₹12,500

Step 4: Tax on next ₹1,00,000 (₹5L to ₹6L) = 10% of ₹1,00,000 = ₹10,000

Step 5: Total income tax = ₹12,500 + ₹10,000 = ₹22,500

Step 6: Education Cess = 4% of ₹22,500 = ₹900

Step 7: Total tax payable = ₹22,500 + ₹900 = ₹23,400

āœ… Answer: Total Income Tax payable = ₹23,400

Q: Ms. Joshi earns ₹5,20,000 per year. She invests ₹80,000 in PPF. Standard deduction: ₹50,000. Calculate her income tax (5% on ₹2.5L–5L slab).

Step 1: Gross income = ₹5,20,000

Step 2: Deductions: Standard ₹50,000 + PPF ₹80,000 = ₹1,30,000

Step 3: Taxable income = ₹5,20,000 āˆ’ ₹1,30,000 = ₹3,90,000

Step 4: Tax on first ₹2,50,000 = nil

Step 5: Tax on ₹1,40,000 (₹2.5L to ₹3.9L) at 5% = ₹7,000

Step 6: Education Cess = 4% of ₹7,000 = ₹280

Step 7: Total tax = ₹7,000 + ₹280 = ₹7,280

āœ… Answer: Income Tax payable = ₹7,280

Shares and Dividends

A share is a unit of ownership in a company. Companies issue shares to raise funds. Shareholders receive dividends (a portion of profit) based on the number and face value of shares held.

Practice Set 4.3 — Shares and Dividends

Q: A man buys 200 shares of face value ₹10 each at a premium of ₹5. Company declares 20% dividend. Find his annual dividend and yield.

Step 1: Face value (FV) = ₹10 per share

Step 2: Market value (MV) = ₹10 + ₹5 = ₹15 per share

Step 3: Total investment = 200 Ɨ ₹15 = ₹3,000

Step 4: Dividend per share = 20% of FV = 20% of ₹10 = ₹2

Step 5: Total dividend = 200 Ɨ ₹2 = ₹400

Step 6: Yield = (Dividend / Investment) Ɨ 100 = (400/3000) Ɨ 100 = 13.33%

āœ… Answer: Annual dividend = ₹400, Yield ā‰ˆ 13.33%

Q: A person invests ₹12,000 in shares of FV ₹10 at a market value of ₹20. Company declares 15% dividend. Calculate the income and return on investment.

Step 1: Number of shares = ₹12,000 / ₹20 = 600 shares

Step 2: Dividend per share = 15% of ₹10 = ₹1.50

Step 3: Total dividend income = 600 Ɨ ₹1.50 = ₹900

Step 4: Return on investment = (900/12000) Ɨ 100 = 7.5%

āœ… Answer: Dividend income = ₹900, ROI = 7.5%

Practice Set 4.4 — Banking and Loans (EMI)

šŸ”¢ Banking Formulas

  • Simple Interest (SI) = P Ɨ R Ɨ T / 100
  • Compound Interest: A = P(1 + R/100)ⁿ
  • EMI = [P Ɨ r Ɨ (1+r)ⁿ] / [(1+r)ⁿ āˆ’ 1] where r = monthly rate
  • Total interest in loan = (EMI Ɨ n) āˆ’ Principal

Q: A person takes a loan of ₹2,00,000 at 12% per annum for 2 years. Calculate simple interest and total amount.

Step 1: P = ₹2,00,000, R = 12%, T = 2 years

Step 2: SI = (2,00,000 Ɨ 12 Ɨ 2) / 100 = ₹48,000

Step 3: Total amount = ₹2,00,000 + ₹48,000 = ₹2,48,000

āœ… Answer: Simple Interest = ₹48,000, Total Amount = ₹2,48,000

Q: Ravi deposits ₹1,000 every month in a recurring deposit at 8% per annum for 2 years. Find the maturity amount. (For SSC: use formula Maturity = nƗP + SI on each installment)

Step 1: Monthly deposit P = ₹1,000, Rate = 8%pa, n = 24 months

Step 2: Total principal = 24 Ɨ 1000 = ₹24,000

Step 3: Interest = P Ɨ n(n+1)/2 Ɨ R/(12Ɨ100) = 1000 Ɨ 24Ɨ25/2 Ɨ 8/1200

Step 4: = 1000 Ɨ 300 Ɨ 8/1200 = 1000 Ɨ 2 = ₹2,000

Step 5: Maturity amount = ₹24,000 + ₹2,000 = ₹26,000

āœ… Answer: Maturity amount = ₹26,000

Important Terms Glossary

TermMeaning
GSTGoods and Services Tax — unified indirect tax in India
CGST/SGSTCentral/State component of GST for intra-state trade (each = GST/2)
IGSTIntegrated GST for inter-state transactions (full rate)
Face ValueThe printed value of a share on the certificate
Market ValueThe current price at which a share is bought/sold
DividendShare of profit paid to shareholders based on Face Value
Yield/ReturnActual return on investment (dividend Ć· market price Ɨ 100)
EMIEquated Monthly Instalment — fixed monthly loan payment
PrincipalOriginal amount borrowed or invested
Taxable IncomeIncome after all exemptions and deductions

FAQs

How is GST different from old taxes like VAT?

GST replaced multiple indirect taxes like VAT, Service Tax, Excise Duty etc. with one single tax. GST follows Input Tax Credit system — you pay tax only on the value you add, not on the entire value.

What is the difference between Face Value and Market Value of a share?

Face Value (FV) is the original price printed on the share certificate (often ₹10 or ₹100). Market Value (MV) is the current buying/selling price in the stock market, which changes daily. Dividend is always calculated on Face Value, not Market Value.

What is Section 80C deduction in income tax?

Section 80C allows you to deduct up to ₹1,50,000 per year from your taxable income for investments in PPF, life insurance premiums, ELSS funds, NSC, home loan principal, etc. This reduces your tax liability.

How many marks does Chapter 4 carry in SSC board exam?

Financial Planning carries approximately 6-8 marks in the SSC Algebra board paper. It typically has 1-2 word problems. GST problems and share market problems are most commonly asked.

šŸ”— Related: ← Chapter 3: Arithmetic Progression | Chapter 5: Probability → | Class 10 Maths All Chapters