What is a tax and why do governments collect it?
A tax is a compulsory payment to the government. You do not get a direct item in return. Taxes are the main government income (revenue).
Governments use taxes to:
- pay for public goods and services: roads, schools, hospitals, police, defence;
- redistribute income: help poorer people through pensions, food support and benefits;
- change behaviour: high taxes on tobacco or fuel to cut harmful use;
- manage the economy: lower taxes to boost spending, higher taxes to cool prices.
Main spending areas usually include health, education, social protection, defence, infrastructure and interest on debt.
Direct and indirect taxes
Direct tax: paid straight to the government by the person or firm who earns or owns. The burden cannot be passed on. Examples: personal income tax, corporate (company profit) tax, property tax, wealth or capital gains tax.
Indirect tax: added to the price of goods and services. The seller collects it and pays the government, but the buyer really bears it. Examples: GST in India, VAT in Europe and Africa, excise duty on fuel, customs duty on imports.
| Direct | Indirect | |
|---|---|---|
| Paid by | Earner/owner | Buyer, through the seller |
| Linked to | Income or wealth | Spending |
| Can be progressive? | Yes, easily | Usually regressive |
Progressive, proportional and regressive taxes
Compare the share of income paid in tax.
- Progressive: the share rises as income rises (income tax slabs).
- Proportional (flat): the same share for everyone, e.g. 10% for all.
- Regressive: the share falls as income rises. A fixed amount for all, or a tax on basic goods, takes a bigger share of a small income.
Indirect taxes look equal (same 18% on a soap) but poorer families spend almost all their income, so the tax is a bigger share of what they earn. That makes it regressive in effect.
Calculating tax: slabs, effective rate and GST/VAT
Income tax with slabs
Split the income into slabs and tax each slab at its own rate, then add. Example slabs: 0% up to 30,000; 10% on 30,001–60,000; 20% above 60,000.
For 80,000: 30,000 × 0% = 0; 30,000 × 10% = 3,000; 20,000 × 20% = 4,000. Total = 7,000.
Marginal rate = the rate on the last unit earned (20% here). Effective (average) rate = 7,000 ÷ 80,000 × 100 = 8.75%. A pay rise into a higher slab only taxes the extra part at the higher rate.
GST / VAT
Price with tax = price × (1 + rate/100). To find the tax inside a total: tax = total × rate ÷ (100 + rate). Example: total 1,180 at 18% → tax = 1,180 × 18 ÷ 118 = 180.
Try it at home
Collect three shop bills at home. Find the tax line on each (GST, VAT or sales tax). Work out the tax rate: tax ÷ price before tax × 100. Then imagine two families: one earns 20,000 a month and spends 18,000; another earns 2,00,000 and spends 60,000. If both pay 10% tax on all spending, what share of income does each pay? Predict first, then calculate.
Key formulas and definitions
- Tax = taxable amount × rate ÷ 100
- Slab tax = Σ (income in slab × slab rate)
- Effective rate = total tax ÷ income × 100
- Price with GST/VAT = price × (1 + r/100)
- Tax inside a total = total × r ÷ (100 + r)
- Progressive: share ↑ as income ↑; regressive: share ↓ as income ↑
Worked examples
1. A flat tax of 12% is charged on an income of 50,000. Find the tax.
Tax = 50,000 × 12 ÷ 100 = 6,000.
2. A pair of shoes costs 2,400 before 5% VAT. Find the price paid.
VAT = 2,400 × 5 ÷ 100 = 120. Price = 2,400 + 120 = 2,520.
3. A bill total is 590 including 18% GST. How much of it is tax?
Tax = 590 × 18 ÷ 118 = 90. Price before tax = 500.
4. Slabs: 0% up to 30,000; 10% on 30,001–60,000; 20% above. Find the tax on 80,000 and the effective rate.
0 + 3,000 + (20,000 × 20%) 4,000 = 7,000. Effective = 7,000 ÷ 80,000 × 100 = 8.75%.
5. Same slabs. Riya's income rises from 60,000 to 65,000. By how much does her tax rise?
At 60,000: 3,000. At 65,000: 3,000 + 5,000 × 20% = 4,000. Rise = 1,000 (only the extra 5,000 is taxed at 20%).
6. A fixed tax of 2,000 is charged to everyone. Find the share of income for incomes of 20,000 and 200,000. What type of tax is it?
20,000: 2,000 ÷ 20,000 × 100 = 10%. 200,000: 1%. Share falls as income rises, so it is regressive.
Common mistakes
- Taxing the whole income at the highest slab rate. Each slab is taxed at its own rate.
- Finding tax inside a total by doing total × rate ÷ 100. Use total × rate ÷ (100 + rate).
- Thinking an equal rate on goods is always fair. It takes a bigger share of a small income, so it is regressive in effect.
- Mixing up marginal rate (rate on the last unit) and effective rate (total tax ÷ income).