ICSE Class 10 • 2024 • 4 Marks

Commercial Mathematics: Inter-State Goods and Services Tax (IGST)

Official examination question with verified M1/A1 mark scheme and step-by-step mathematical reasoning.

Problem Statement

A wholesaler in Uttar Pradesh buys an article from a manufacturer in Delhi at a list price of $₹10,000$ at a discount of $20\%$. He sells it to a retailer in Madhya Pradesh at a profit of $25\%$ on his cost price. If the rate of GST is $12\%$, calculate: (i) The tax paid by the wholesaler to the Central Government. (ii) The total price paid by the retailer in Madhya Pradesh including IGST.

Verified Solution & Marking Scheme

Cost Price and Input Tax Credit (ITC)
List price $= ₹10,000$. Discount $= 20\% \implies \text{CP} = 10000 - 2000 = ₹8,000$. Since manufacturer is in Delhi and wholesaler in UP (inter-state): $\text{Input IGST paid} = 12\% \text{ of } 8000 = ₹960$ $\text{Input Tax Credit (ITC)} = ₹960$
Selling Price to Retailer
Profit $= 25\% \text{ of } 8000 = ₹2,000$. $\text{Selling Price (SP)} = 8000 + 2000 = ₹10,000$
Output Tax and Net Tax Paid to Government
Sale from UP to MP is also inter-state: $\text{Output IGST collected} = 12\% \text{ of } 10000 = ₹1,200$ $\text{Net Tax Paid by Wholesaler} = \text{Output IGST} - \text{Input IGST} = 1200 - 960 = ₹240$ $\text{Total price paid by retailer} = 10000 + 1200 = ₹11,200$
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