ICSE Class 10 • 2024 • 4 Marks

Commercial Mathematics: Goods and Services Tax (GST)

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

Problem Statement

A dealer in Mumbai buys a TV at marked price $₹25,000$ at a discount of $20\%$. He sells it to a consumer at a profit of $15\%$ on his cost price. If GST rate is $18\%$, calculate: (i) Price paid by consumer including GST. (ii) SGST received by State Government.

Verified Solution & Marking Scheme

Dealer Cost Price
$\text{Discount} = 20\% \text{ of } 25000 = ₹5,000 \implies \text{CP} = ₹20,000$.
Consumer Selling Price
$\text{Profit} = 15\% \text{ of } 20000 = ₹3,000 \implies \text{SP} = ₹23,000$.
GST and SGST
$\text{GST} = 18\% \text{ of } 23000 = ₹4,140$. Consumer total $= 23000 + 4140 = ₹27,140$. $\text{SGST} = 9\% \text{ of } 23000 = ₹2,070$.
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