Class 11- Applied Mathematics-NCERT Handbook Solutions-Chapter-14 (Tax and Utility Bills)

Class 11 Applied Mathematics - Chapter 14 Solutions

Chapter 14: Tax and Utility Bills

Complete Step-by-Step Solutions & Mathematical Reasoning

Check Your Progress 14.1

Q1
A dealer in Kolkata sells goods worth 40,000 to a consumer in Durgapur (both in West Bengal). The applicable GST rate is 12%. What is the State GST (SGST) amount?
Solution:

Since the seller and the consumer are in the same state (West Bengal), the transaction is an Intra-State supply.

For an Intra-State supply, the GST is divided equally into Central GST (CGST) and State GST (SGST).

Total GST Rate=12% SGST Rate=12%2=6% SGST Amount=6% of 40,000 SGST Amount=6100×40,000=2400

State GST (SGST) amount is 2400.
Q2
A manufacturer in Gujarat sells chemicals worth 1,50,000 to a factory in Maharashtra. If the GST rate is 18%, what is the nature and amount of tax levied?
Solution:

Since the seller is in Gujarat and the buyer is in Maharashtra, the transaction occurs between two different states. Therefore, it is an Inter-State supply.

For an Inter-State supply, Integrated GST (IGST) is levied by the Central Government.

IGST Rate=18% IGST Amount=18% of 1,50,000 IGST Amount=18100×1,50,000=27,000

Nature of Tax: IGST
Amount of Tax: 27,000.
Q3
A trader purchased goods for 20,000 and sold them for 30,000 within the same state. If the GST rate is 5%, what is the Net GST payable by the trader to the government?
Solution:

Input GST (Paid on purchase)=5% of 20,000 Input GST=5100×20,000=1000

Output GST (Collected on sale)=5% of 30,000 Output GST=5100×30,000=1500

Net GST Payable=Output GST-Input GST Net GST Payable=1500-1000=500

Net GST payable by the trader is 500.
Q4
Mr. X (Punjab) purchases goods from Delhi for 1,00,000 (Inter-State) paying 18% GST. He sells them in Punjab for 1,50,000 (Intra-State). What is the Net SGST payable in cash after setting off credits?
Solution:

1. Purchase Transaction (Inter-State):
Input IGST=18% of 1,00,000=18,000

2. Sale Transaction (Intra-State):
The sale is within Punjab, so GST is divided into CGST and SGST (9% each).
Output CGST=9% of 1,50,000=13,500 Output SGST=9% of 1,50,000=13,500

3. Setting off Input Tax Credit (ITC):
Rule: Input IGST must first be used to pay off Output IGST (which is 0 here). The remaining balance is used to pay Output CGST, and then any further remaining balance is used to pay Output SGST.
Available Input IGST=18,000 Use Input IGST to pay Output CGST: 13,500 Remaining Input IGST=18,000-13,500=4,500 Use remaining Input IGST to pay Output SGST. Net SGST Payable in cash=Total Output SGST-Remaining Input IGST Net SGST Payable=13,500-4,500=9,000

Net SGST payable in cash is 9,000.
Q5
The marked price of a laptop inclusive of 18% GST is 59,000. Find:
(i) The original price of the laptop (before GST)
(ii) The GST amount charged
(iii) CGST and SGST amounts (If all the transactions are intra-state).
Solution:

(i) Original Price:
Let the original price (before GST) be x. Original Price+GST=Marked Price x+18% of x=59,000 x+0.18x=59,000 1.18x=59,000 x=59,0001.18=50,000

(ii) GST Amount Charged:
GST Amount=Marked Price-Original Price GST=59,000-50,000=9,000

(iii) CGST and SGST amounts:
For an intra-state transaction, GST is divided equally into CGST and SGST. CGST=SGST=9,0002=4,500

(i) Original price is 50,000
(ii) Total GST amount is 9,000
(iii) CGST = 4,500, SGST = 4,500

Check Your Progress 14.2

Q1
Mr. Rajesh Kumar is a teacher earning an annual salary of 6,50,000. Calculate his income tax liability under the new tax regime for FY 2025-26.
Solution:

Gross Total Income=6,50,000 Standard Deduction (for Salaried)=75,000 Taxable Income=6,50,000-75,000=5,75,000

Since the taxable income (5,75,000) is less than the threshold of 12,00,000, he is eligible for a full tax rebate under Section 87A.

Final Tax Liability = Nil
Q2
Ms. Kavita earns an annual salary of 7,80,000 and receives interest of 65,000 from her fixed deposits. Calculate her total income tax liability under the new tax regime.
Solution:

Income from Salary=7,80,000 Less: Standard Deduction=75,000 Net Salary Income=7,80,000-75,000=7,05,000

Income from other sources (FD Interest)=65,000 Total Taxable Income=7,05,000+65,000=7,70,000

Since the taxable income (7,70,000) is less than the threshold of 12,00,000, she receives a full rebate under Section 87A.

Final Tax Liability = Nil
Q3
Ms. Priyanka is a software engineer with the following income:
• Annual Salary: 12,50,000
• Interest from savings account: 30,000
• Dividend from mutual funds: 15,000
Calculate her income tax liability.
Solution:

Step 1: Calculate Total Taxable Income
Gross Salary=12,50,000 Standard Deduction=-75,000 Net Salary=11,75,000 Other Income=30,000+15,000=45,000 Total Taxable Income=11,75,000+45,000=12,20,000

Step 2: Calculate Income Tax (New Regime)
Since income > 12,00,000, no direct rebate under 87A.

  • Up to 4,00,000: Nil
  • 4,00,001 to 8,00,000 (5% of 4 Lakhs): 20,000
  • 8,00,001 to 12,00,000 (10% of 4 Lakhs): 40,000
  • 12,00,001 to 12,20,000 (15% of 20,000): 3,000
Total Normal Tax Calculated=20,000+40,000+3,000=63,000

Step 3: Marginal Relief
Income is slightly above the threshold of 12,00,000.
Excess income above 12L=12,20,000-12,00,000=20,000 Under marginal relief, tax payable is the lower of:
1. Normal tax calculated: 63,000
2. Excess income above 12,00,000: 20,000
Tax Payable after Marginal Relief=20,000

Step 4: Add Health and Education Cess (4%)
Cess=4% of 20,000=800 Total Tax Liability=20,000+800=20,800

Income tax liability is 20,800.
Q4
Mr. Malhotra is a senior executive with the following income:
• Annual Salary: 58,00,000
• Interest from fixed deposits: 2,50,000
• Dividend from shares: 80,000
Calculate his total income tax liability under the new tax regime.
Solution:

Step 1: Calculate Taxable Income
Gross Salary=58,00,000 Standard Deduction=-75,000 Net Salary=57,25,000 Other Income=2,50,000+80,000=3,30,000 Total Taxable Income=57,25,000+3,30,000=60,55,000

Step 2: Calculate Base Income Tax

  • 0 to 4L: 0
  • 4L to 8L (5% of 4L): 20,000
  • 8L to 12L (10% of 4L): 40,000
  • 12L to 16L (15% of 4L): 60,000
  • 16L to 20L (20% of 4L): 80,000
  • 20L to 24L (25% of 4L): 1,00,000
  • Above 24L (30% of 36,55,000): 10,96,500
Total Tax=20000+40000+60000+80000+100000+1096500=13,96,500

Step 3: Add Surcharge
Since income exceeds 50,00,000, a 10% surcharge applies on the tax. Surcharge=10% of 13,96,500=1,39,650 Tax + Surcharge=13,96,500+1,39,650=15,36,150

Step 4: Add Health and Education Cess
Cess=4% of 15,36,150=61,446 Total Tax Liability=15,36,150+61,446=15,97,596

Total income tax liability is 15,97,596.
Q5
Mr. Verma has the following income for FY 2025-26:
• Annual Salary: 10,80,000
• Interest from bank deposits: 95,000
• Cash gift from friend on birthday: 75,000
• Gift from brother: 50,000
Calculate his total income tax liability.
Solution:

Step 1: Calculate Taxable Income
Gross Salary=10,80,000 Standard Deduction=-75,000 Net Salary=10,05,000

Income from Other Sources:
• Bank deposits interest: 95,000
• Gift from friend: 75,000 (Taxable since it exceeds 50,000)
• Gift from brother: 0 (Gifts from relatives are fully exempt from tax)
Total Other Income=95,000+75,000=1,70,000

Total Taxable Income=10,05,000+1,70,000=11,75,000

Since the taxable income (11,75,000) is less than the threshold of 12,00,000, he is eligible for a full tax rebate under Section 87A.

Total tax liability is Nil.

Check Your Progress 14.3

Q1
A commercial establishment in Mumbai consumes 1,250 units of electricity in a month with a connection load of 12 kW. Calculate the electricity bill if:
• Fixed charge: 150 per kW
• Energy charges: Flat rate of 9.50 per unit
• Surcharge: 5% on (Fixed + Energy charges)
• Energy tax: 8%
• GST: 5%
Solution:

Fixed Charge=150×12=1800 Energy Charge=1250×9.50=11875 Total Base Charges=1800+11875=13675

Surcharge=5% of 13675=683.75 Energy Tax=8% of 13675=1094.00

Total before GST=13675+683.75+1094=15452.75

GST=5% of 15452.75=772.6375 Final Bill=15452.75+772.6375=16225.3875

The electricity bill is 16225.39 (rounded).
Q2
The current meter reading of Rahul Choudhary in Gurugram, Haryana is 2,565 units. In the previous month, the meter reading was 1,895 units. He has a connection load of 4 kW. Calculate the electricity bill for the month if no surcharge is applicable. He has an arrear of 500 from the previous bill. The tariff plan is as given below:
Fixed Charges: ≤2 kW (25), >2 kW (75)
Energy Charges: 0-150 (4.50), 151-250 (5.25), 251-500 (6.30), 501-800 (7.10)
Energy duty of 0.10 per unit is levied in Haryana.
Solution:

Units Consumed=2565-1895=670 units

Fixed Charges:
Since load > 2 kW, Fixed Charge = 75×4=300

Energy Charges (Slab-wise):

  • First 150 units: 150×4.50=675
  • Next 100 units (151-250): 100×5.25=525
  • Next 250 units (251-500): 250×6.30=1575
  • Remaining 170 units (501-670): 170×7.10=1207
Total Energy Charge=675+525+1575+1207=3982

Additional Charges:
Energy Duty=670×0.10=67 Arrears=500 Total Bill=300+3982+67+500=4849

The electricity bill is 4849.
Q3
Mrs. Sharma in Jaipur consumed 62 kL of water in a month. Calculate the total amount payable if she has previous arrears of 580 with a late payment surcharge of 3%.
Consumption (kL): 0-10 (5.50), 10-25 (11.00), 25-50 (20.00), >50 (32.00)
• Sewerage: 65% of water charges
• Fixed Charge: 75
• GST: 5% (on current charges only)
Solution:

1. Water Consumption Charges (Slab-wise for 62 kL):

  • 0-10 kL (10 units): 10×5.50=55
  • 11-25 kL (15 units): 15×11.00=165
  • 26-50 kL (25 units): 25×20.00=500
  • >50 kL (12 units): 12×32.00=384
Total Water Charge=55+165+500+384=1104

2. Sewerage & Fixed Charges:
Sewerage=65% of 1104=717.60 Fixed Charge=75 Total Current Charge=1104+717.60+75=1896.60

3. GST & Arrears:
GST (5% on current charges)=5% of 1896.60=94.83 Arrears=580 Late Payment Surcharge=3% of 580=17.40

Total Amount Payable=1896.60+94.83+580+17.40=2588.83

Total amount payable is 2588.83.
Q4
Mr. Anthony from Goa consumed 58 m³ of water in a month. Calculate the water bill at the end of the month. The tariff plan is as given below:
Water Tariff (Goa): Upto 15 (3.50), 15-25 (9), 25-50 (16), >50 (25)
Sewerage charge = 25% of water consumption charges
Meter rent = 40
Solution:

1. Water Consumption Charges (Slab-wise for 58 m³):

  • 0-15 m³ (15 units): 15×3.50=52.50
  • 15-25 m³ (10 units): 10×9.00=90.00
  • 25-50 m³ (25 units): 25×16.00=400.00
  • >50 m³ (8 units): 8×25.00=200.00
Total Water Charge=52.50+90+400+200=742.50

2. Sewerage & Meter Rent:
Sewerage Charge=25% of 742.50=185.625 Meter Rent=40

Total Water Bill=742.50+185.625+40=968.125

Total water bill is 968.13 (rounded).
Q5
Mr. Sahil lives in Delhi. The PNG charges in Delhi are 28.55 per SCM. If he consumes 72 SCM gas in two months (60 days), calculate his bimonthly PNG bill.
Solution:

Since the problem provides a single flat rate, we calculate the bill by directly multiplying the total consumption by the flat rate.

Gas Consumption=72 SCM Rate=28.55 per SCM Total Bill=72×28.55=2055.60

His bimonthly PNG bill is 2055.60.

Practice Exercise

Q1-Q8
Multiple Choice Questions (MCQs)
1. Which of the following is NOT a feature of the "New Tax Regime" for Income Tax?
(a) Lower Tax Rates (b) Availability of deductions like 80C and HRA (c) Default option for taxpayers (d) Simpler calculation without tracking investments

2. In an inter-state supply of goods (e.g., Delhi to Mumbai), which tax is levied?
(a) CGST only (b) SGST only (c) CGST+SGST (d) IGST only

3. For an intra-state supply of goods worth `50,000 with 18% GST rate, the CGST amount is:
(a) ` 9000 (b) ` 4500 (c) ` 18,000 (d) ` 3600

4. The slab system in utility bills refers to:
(a) A flat rate for all consumption (b) Progressive rates that increase with higher consumption (c) Fixed Charges only (d) Discount Schemes

5. Piped Natural Gas (PNG) consumption is measured in:
(a) Kilolitres (kL) (b) Kilowatt-hours (kWh) (c) Cubic feet (d) Standard cubic metres (SCM)

6. Health and Education Cess is charged at what percentage on income tax?
(a) 2% (b) 3% (c) 4% (d) 5%

7. What is the full form of HSN code used in GST?
(a) Harmonized System of Nomenclature (b) Home State Number (c) Harmonized Service Number (d) Higher Statutory Nomenclature

8. Input Tax Credit (ITC) in GST allows businesses to:
(a) Claim refund on all purchases (b) Reduce tax liability by claiming credit for tax paid on purchases (c) Avoid paying GST completely (d) Transfer tax burden to suppliers
Solution:

1. (b) Availability of deductions like 80C and HRA - The new tax regime offers lower tax rates by forgoing most deductions and exemptions available in the old regime.

2. (d) IGST only - Integrated GST is collected by the Centre on inter-state sales.

3. (b) ` 4500 - For intra-state, GST is split equally. CGST = 9% of 50,000 = 4,500.

4. (b) Progressive rates that increase with higher consumption

5. (d) Standard cubic metres (SCM)

6. (c) 4% - Applied on the base tax + surcharge.

7. (a) Harmonized System of Nomenclature

8. (b) Reduce tax liability by claiming credit for tax paid on purchases

Q9
A household has the following electricity consumption:
• First 150 units @ 3.50 per unit
• Next 100 units @ 5.00 per unit
Calculate the total energy charges if the household consumed 220 units.
Solution:

The total consumption is 220 units. We break this into slabs:

  • First slab (0 - 150 units): 150×3.50=525
  • Remaining units for the next slab: 220-150=70 units
  • Second slab: 70×5.00=350

Total Energy Charge=525+350=875

Total energy charges are 875.
Q10
Mr. Ramesh has a gross annual income of 9,50,000. He is a salaried employee. Calculate his taxable income under the new tax regime.
Solution:

Under the new tax regime, a salaried employee is eligible for a Standard Deduction.

Gross Annual Income=9,50,000 Less: Standard Deduction=75,000 Taxable Income=9,50,000-75,000=8,75,000

His taxable income is 8,75,000.
Q11
A trader in Kolkata purchases goods worth 50,000 from another trader in Kolkata and pays 12% GST. He then sells these goods for 70,000 within Kolkata. Calculate:
(i) Input GST paid.
(ii) Output GST collected.
(iii) Net GST payable to the government.
Solution:

(i) Input GST Paid (on purchases):
Input GST=12% of 50,000=12100×50000=6,000

(ii) Output GST Collected (on sales):
Output GST=12% of 70,000=12100×70000=8,400

(iii) Net GST Payable:
Net GST=Output GST-Input GST Net GST=8400-6000=2,400

(i) Input GST: 6,000
(ii) Output GST: 8,400
(iii) Net GST Payable: 2,400
Q12
A consumer's previous water meter reading was 245 kL and current reading is 278 kL. If the rate for consumption is 12 per kL for the first 20 kL and 18 per kL for consumption above 20 kL, calculate the water consumption charges.
Solution:

Water Consumed=Current Reading-Previous Reading Water Consumed=278-245=33 kL

Applying Slab Rates:

  • First 20 kL: 20×12=240
  • Remaining 13 kL (33 - 20): 13×18=234
Total Charge=240+234=474

Water consumption charges are 474.
Q13
A family in Lucknow consumed 94 SCM of PNG in 60 days. Calculate the bimonthly PNG bill with:
Tariff:
Consumption (SCM/60 days): Upto 50 (31.50), Above 50 (45.80)
Network Tariff is 12% of the consumption charges and GST is 5%.
Solution:

1. Gas Consumption Charges:
Total consumption = 94 SCM.

  • First 50 SCM: 50×31.50=1575
  • Remaining 44 SCM: 44×45.80=2015.20
Total Consumption Charge=1575+2015.20=3590.20

2. Network Tariff & Tax:
Network Tariff=12% of 3590.20=0.12×3590.20=430.824 Total Base Amount=3590.20+430.824=4021.024 GST=5% of 4021.024=201.0512 Total Bill=4021.024+201.0512=4222.0752

The bimonthly PNG bill is 4222.08 (rounded).
Q14
A household in Bengaluru consumed 156 kL of water in a month. Calculate the total water bill with the following details:
Consumption: 0-8 (6.00), 8-25 (12.00), 25-50 (22.00), Above 50 (38.00)
Additional charges: Sewerage charges (30% of water consumption charges), Meter rent (65), Fixed charge (85).
Solution:

1. Water Consumption Charges (156 kL):

  • 0-8 kL (8 units): 8×6=48
  • 9-25 kL (17 units): 17×12=204
  • 26-50 kL (25 units): 25×22=550
  • Above 50 kL (106 units): 106×38=4028
Total Water Charge=48+204+550+4028=4830

2. Additional Charges:
Sewerage=30% of 4830=1449 Total Bill=Water Charge+Sewerage+Meter Rent+Fixed Charge Total Bill=4830+1449+65+85=6429

Total water bill is 6429.
Q15
Mr. Sharma, a resident of Delhi, consumes 450 units of electricity. Calculate his total bill based on the following tariff:
• Fixed Charge: 100
• Slab 1 (0 – 200 units): 3.00/unit
• Slab 2 (201 – 400 units): 4.50/unit
• Slab 3 (>400 units): 7.00/unit
• Electricity Duty: 5% on Energy Charge.
Solution:

1. Energy Charges:

  • First 200 units: 200×3.00=600
  • Next 200 units: 200×4.50=900
  • Remaining 50 units (450 - 400): 50×7.00=350
Total Energy Charge=600+900+350=1850

2. Electricity Duty & Total Bill:
Electricity Duty=5% of 1850=92.50 Total Bill=Fixed Charge+Energy Charge+Duty Total Bill=100+1850+92.50=2042.50

His total bill is 2042.50.
Q16
Ms. Priya is a software engineer with the following income for FY 2025-26:
• Annual Salary: 14,50,000
• Interest from Fixed Deposits: 85,000
• Dividend from shares: 45,000
Calculate her total income tax liability under the new tax regime including Health and Education Cess.
Solution:

1. Calculate Taxable Income:
Gross Salary=14,50,000 Less: Standard Deduction=75,000 Net Salary=13,75,000 Other Income=85,000+45,000=1,30,000 Total Taxable Income=13,75,000+1,30,000=15,05,000

2. Calculate Income Tax (New Slabs):
Since income > 12 Lakhs, there is no rebate.

  • Up to 4,00,000: Nil
  • 4,00,001 to 8,00,000 (5% of 4 Lakhs): 20,000
  • 8,00,001 to 12,00,000 (10% of 4 Lakhs): 40,000
  • 12,00,001 to 16,00,000 is 15%. Thus, 15% of (15,05,000-12,00,000) = 15% of 3,05,000: 45,750
Total Tax=20000+40000+45750=1,05,750

3. Health and Education Cess:
Cess=4% of 1,05,750=4,230 Total Tax Liability=1,05,750+4230=1,09,980

Her total income tax liability is 1,09,980.
Q17
Rajesh Electronics in Mumbai makes the following sales:
• Transaction A: Laptop worth 60,000 sold to customer in Mumbai (18% GST)
• Transaction B: Mobile phone worth 25,000 sold to customer in Delhi (18% GST)
For each transaction:
(i) Identify the type of GST applicable.
(ii) Calculate CGST/SGST/IGST.
(iii) Calculate total invoice amount.
Solution:

Transaction A (Mumbai to Mumbai):
(i) Since it is within the same state, it is an Intra-State supply. CGST + SGST applies.
(ii) Total GST = 18%.
CGST=9% of 60,000=5,400 SGST=9% of 60,000=5,400 (iii) Total Invoice = 60000+5400+5400=70,800

Transaction B (Mumbai to Delhi):
(i) Since it is across states, it is an Inter-State supply. IGST applies.
(ii) Total GST = 18%.
IGST=18% of 25,000=4,500 (iii) Total Invoice = 25000+4500=29,500

Q18
Ms. Kavita earns an annual salary of 14,50,000. She also receives interest from fixed deposits amounting to 85,000 and dividend from mutual funds worth 40,000. Calculate her total income tax liability under the new tax regime for FY 2025-26, including Health and Education Cess.
Solution:

1. Calculate Taxable Income:
Gross Salary=14,50,000 Less: Standard Deduction=75,000 Net Salary=13,75,000 Other Income=85,000+40,000=1,25,000 Total Taxable Income=13,75,000+1,25,000=15,00,000

2. Calculate Income Tax (New Slabs):
Since income > 12 Lakhs, there is no rebate.

  • Up to 4,00,000: Nil
  • 4,00,001 to 8,00,000 (5% of 4 Lakhs): 20,000
  • 8,00,001 to 12,00,000 (10% of 4 Lakhs): 40,000
  • 12,00,001 to 15,00,000 (15% of 3 Lakhs): 45,000
Total Tax=20000+40000+45000=1,05,000

3. Health and Education Cess:
Cess=4% of 1,05,000=4,200 Total Tax Liability=1,05,000+4200=1,09,200

Her total income tax liability is 1,09,200.
Q19 (Case Study 1)
A housing society in Mumbai is auditing its water expenses. One resident, Mr. Das, consumed 45 kL of water.
• Tariff: 0-20 kL @ 6/kL; 20-40 kL @ 10/kL; >40 kL @ 15/kL.
• Sewerage: 50% of volumetric charge.
(i) Calculate the cost of water for the first 20 kL.
(ii) Calculate the cost for the next slab (20-40 kL).
(iii) What is the sewerage charge for Mr. Das?
(iv) If the meter rent is 100, what is his total bill?
Solution:

(i) Cost for the first 20 kL:
20 kL×6=120

(ii) Cost for the next slab (20-40 kL):
The slab is 20 kL (40 - 20). 20 kL×10=200

(iii) Sewerage charge:
Remaining consumption > 40 kL = 45-40=5 kL. Cost=5 kL×15=75 Total Volumetric Charge=120+200+75=395 Sewerage=50% of 395=197.50

(iv) Total Bill:
Total=Volumetric+Sewerage+Meter Rent Total=395+197.50+100=692.50

Q20 (Case Study 2)
Mr. and Mrs. Sharma are planning their finances for FY 2025-26. Their income details are:
Mr. Sharma: Annual Salary: 16,80,000, Interest from savings account: 40,000
Mrs. Sharma: Professional income: 11,20,000, Rental income: 3,60,000, Interest from FD: 55,000
(i) Calculate Mr. Sharma's taxable income.
(ii) Calculate Mrs. Sharma's gross total income.
(iii) Calculate Mr. Sharma's total tax liability including cess.
(iv) Is marginal relief applicable to either of them? Justify.
Solution:

(i) Mr. Sharma's Taxable Income:
Gross Salary=16,80,000 Less: Std Deduction=75,000 Net Salary=16,05,000 Taxable Income=16,05,000+40,000=16,45,000

(ii) Mrs. Sharma's Gross Total Income:
Income=11,20,000+3,60,000+55,000=15,35,000

(iii) Mr. Sharma's Tax Liability:
Taxable Income = 16,45,000

  • 0-4L: Nil
  • 4L-8L (5% of 4L): 20,000
  • 8L-12L (10% of 4L): 40,000
  • 12L-16L (15% of 4L): 60,000
  • 16L-16.45L (20% of 45K): 9,000
Total Tax=20000+40000+60000+9000=1,29,000 Add Cess (4%)=4% of 129000=5,160 Total Liability=129000+5160=1,34,160 (Note: The textbook's answer key may incorrectly list ₹1,59,900 due to a slab miscalculation, but the mathematically precise derivation following the new regime slabs stated in the text yields ₹1,34,160).

(iv) Marginal Relief:
No, marginal relief applies only when the taxable income slightly crosses the threshold of 12,00,000 (or 12.75 Lakhs for salaried individuals). Both incomes are well above the threshold, so marginal relief is not applicable.

Q21 (Case Study 3)
Rapid Cart, an e-commerce company registered in Bangalore, makes the following sales in March 2026:
• Sold electronics worth 8,00,000 to customers in Karnataka (Intra-state) - GST rate: 18%
• Sold clothing worth 5,00,000 to customers in Tamil Nadu (Inter-state) - GST rate: 12%
• Purchased inventory worth 6,00,000 from Maharashtra suppliers (Inter-state) - GST rate: 18%
(i) Calculate the total CGST and SGST on Karnataka sales.
(ii) Calculate the IGST on Tamil Nadu sales.
(iii) What is the total Input IGST paid on purchases?
(iv) Calculate the net IGST after claiming Input Tax Credit.
Solution:

(i) Karnataka Sales (Intra-state):
GST = 18%, so CGST = 9% and SGST = 9%. CGST=9% of 8,00,000=72,000 SGST=9% of 8,00,000=72,000

(ii) Tamil Nadu Sales (Inter-state):
Output IGST=12% of 5,00,000=60,000

(iii) Purchases (Inter-state):
Input IGST=18% of 6,00,000=1,08,000

(iv) Net IGST Payable:
Net IGST=Output IGST-Input IGST Net IGST=60,000-1,08,000=-48,000 Since Input is greater than Output, the net payable is Nil, and the company has an IGST credit of 48,000.

Assertion Reason (22-25)
22. Assertion (A): IGST is levied on the supply of goods from one state to another (Inter-state).
Reason (R): The centre levies IGST, which is shared equally between the Centre and the destination State.

23. Assertion (A): In an electricity bill, the fixed charge depends on the number of units consumed.
Reason (R): Variable charges are directly proportional to the consumption of electricity units.

24. Assertion (A): CGST paid on purchases can be used to pay SGST liability.
Reason (R): CGST credit can be utilized for CGST liability first, then for IGST, but not for SGST.

25. Assertion (A): Income Tax is an example of Indirect Tax.
Reason (R): Indirect taxes are levied on goods and services, and the burden can be shifted to the consumer.
Solutions:

22. (a) Both A and R are true and R is the correct explanation of A.
IGST is explicitly charged on inter-state sales. It is collected by the Centre and shared with the destination state.

23. (d) A is false but R is true.
Fixed charges in an electricity bill depend on the sanctioned load (kW), not on the number of units consumed. Variable charges, however, are proportional to consumption.

24. (d) A is false but R is true.
CGST credit cannot be utilized towards the payment of SGST liabilities. The Reason correctly states the utilization rule.

25. (d) A is false but R is true.
Income tax is a Direct Tax, paid directly to the government by the individual, and the burden cannot be shifted. The Reason correctly defines Indirect taxes.

Scroll to Top