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Worksheet Solution: Goods and Services Tax | Mathematics Class 10 ICSE PDF Download

A. Very Short Answer Questions

Q1. The marked price of a shirt is ₹800. A discount of 10% is given. Find the selling price.

Solution — stepwise

  1. Step 1 — Compute the discount:
    Discount = (10/100) × ₹800 = 0.10 × 800 = ₹80.

  2. Step 2 — Subtract discount from marked price to get S.P.:
    S.P. = M.P. − Discount = ₹800 − ₹80 = ₹720.

Q2. A mobile phone has a marked price of ₹15,000. A dealer offers a discount of 12%. Find the selling price.

Solution — stepwise

  1. Step 1 — Discount: (12/100) × 15,000 = 0.12 × 15,000 = ₹1,800.

  2. Step 2 — Selling price: 15,000 − 1,800 = ₹13,200.

Q3. The selling price of a laptop after discount is ₹45,000. If GST is 18%, find the GST amount.

Solution — stepwise

  1. Step 1 — GST formula: GST = (18/100) × S.P.

  2. Step 2 — Compute: GST = 0.18 × ₹45,000 = ₹8,100.

Q4. A refrigerator has a marked price of ₹20,000. A discount of 10% is given, and GST at 12% is applied on the selling price. Find the total price paid by the customer.

Solution — stepwise

  1. Step 1 — Discount amount: (10/100) × 20,000 = ₹2,000.

  2. Step 2 — Selling price (after discount): 20,000 − 2,000 = ₹18,000.

  3. Step 3 — GST on S.P.: (12/100) × 18,000 = 0.12 × 18,000 = ₹2,160.

  4. Step 4 — Total price paid: S.P. + GST = 18,000 + 2,160 = ₹20,160.

Q5. The cost price of a fan is ₹2,000. The shopkeeper sells it at a marked price of ₹2,400 after a discount of 10%. Find the selling price.

Solution — stepwise

  1. Step 1 — Compute discount on M.P.: (10/100) × 2,400 = ₹240.

  2. Step 2 — Selling price: 2,400 − 240 = ₹2,160.

B. Short Answer Questions

Q6. Find the GST charged on a washing machine whose selling price after discount is ₹32,000. The GST rate is 18%.

Solution — stepwise

  1. Step 1 — GST formula: GST = (18/100) × S.P.

  2. Step 2 — Compute: GST = 0.18 × 32,000 = ₹5,760.

Q7. A TV is marked at ₹50,000. A discount of 20% is offered. GST is charged at 18%. Find the total amount payable.

Solution — stepwise

  1. Step 1 — Discount: (20/100) × 50,000 = ₹10,000.

  2. Step 2 — Selling price: 50,000 − 10,000 = ₹40,000.

  3. Step 3 — GST: (18/100) × 40,000 = 0.18 × 40,000 = ₹7,200.

  4. Step 4 — Total payable: 40,000 + 7,200 = ₹47,200.

Q8. The selling price of a fridge is ₹25,000 after discount. If CGST = 9% and SGST = 9%, find the total tax and final price.

Solution — stepwise

  1. Step 1 — CGST amount: (9/100) × 25,000 = 0.09 × 25,000 = ₹2,250.

  2. Step 2 — SGST amount: equal = ₹2,250.

  3. Step 3 — Total tax: 2,250 + 2,250 = ₹4,500.

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

Q9. A microwave oven has a marked price of ₹12,000. A discount of 15% is given. If GST at 18% is applied on the selling price, find the total cost to the customer.

Solution — stepwise

  1. Step 1 — Discount amount: (15/100) × 12,000 = 0.15 × 12,000 = ₹1,800.

  2. Step 2 — Selling price: 12,000 − 1,800 = ₹10,200.

  3. Step 3 — GST: (18/100) × 10,200 = 0.18 × 10,200 = ₹1,836.

  4. Step 4 — Total cost: 10,200 + 1,836 = ₹12,036.

Q10. A shopkeeper sells an item for ₹5,000 after discount. If IGST at 18% is applied, what is the total bill?

Solution — stepwise

  1. Step 1 — IGST amount: (18/100) × 5,000 = 0.18 × 5,000 = ₹900.

  2. Step 2 — Total bill: 5,000 + 900 = ₹5,900.

C. Long Answer Questions

Q11. The selling price of a sofa set is ₹36,000. If CGST = 9% and SGST = 9%, find the final amount payable by the customer.

Solution — stepwise

  1. Step 1 — CGST: (9/100) × 36,000 = 0.09 × 36,000 = ₹3,240.

  2. Step 2 — SGST: equal = ₹3,240.

  3. Step 3 — Total tax: 3,240 + 3,240 = ₹6,480.

  4. Step 4 — Final payable amount: 36,000 + 6,480 = ₹42,480.

Q12. A camera is marked at ₹25,000. The shopkeeper gives a discount of 8%. GST is levied at 12%. Find the final bill amount.

Solution — stepwise

  1. Step 1 — Discount: (8/100) × 25,000 = 0.08 × 25,000 = ₹2,000.

  2. Step 2 — Selling price after discount: 25,000 − 2,000 = ₹23,000.

  3. Step 3 — GST (12%): (12/100) × 23,000 = 0.12 × 23,000 = ₹2,760.

  4. Step 4 — Final bill: 23,000 + 2,760 = ₹25,760.

Q13. A customer buys a laptop whose selling price is ₹60,000 after discount. If GST is 18%, calculate the amount of CGST and SGST separately.

Solution — stepwise

  1. Step 1 — Total GST (18%): (18/100) × 60,000 = 0.18 × 60,000 = ₹10,800.

  2. Step 2 — Since this is intra-state, split equally:
    CGST = SGST = Total GST ÷ 2 = 10,800 ÷ 2 = ₹5,400 each.

  3. Step 3 — Final price (extra info): 60,000 + 10,800 = ₹70,800 (if needed).

The document Worksheet Solution: Goods and Services Tax | Mathematics Class 10 ICSE is a part of the Class 10 Course Mathematics Class 10 ICSE.
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FAQs on Worksheet Solution: Goods and Services Tax - Mathematics Class 10 ICSE

1. What is Goods and Services Tax (GST) and why was it implemented?
Ans. Goods and Services Tax (GST) is a comprehensive indirect tax that was implemented to unify multiple indirect taxes into a single tax regime. It was designed to simplify the tax structure, improve compliance, and enhance the ease of doing business. The primary aim of GST is to eliminate the cascading effect of taxes on goods and services, thereby promoting economic efficiency.
2. What are the different types of GST?
Ans. There are three main types of GST: 1. Central Goods and Services Tax (CGST) - collected by the central government on intra-state supplies of goods and services. 2. State Goods and Services Tax (SGST) - collected by state governments on intra-state supplies. 3. Integrated Goods and Services Tax (IGST) - collected by the central government on inter-state supplies of goods and services. IGST ensures seamless transfer of goods across state borders.
3. How does GST impact consumers?
Ans. GST impacts consumers by streamlining the tax structure, which can lead to reduced prices for goods and services. With the elimination of multiple taxes, consumers may benefit from lower tax burdens. Additionally, GST promotes transparency in pricing as businesses are required to maintain proper records and pass on tax benefits to consumers.
4. What is the process of GST registration?
Ans. The GST registration process involves several steps: 1. Visit the GST portal and fill out the application form. 2. Provide necessary documents such as proof of business, identity, and address. 3. Submit the application and receive an Application Reference Number (ARN). 4. The tax authorities will verify the application and documents. 5. Upon successful verification, a GST registration certificate will be issued, granting the business a unique GSTIN.
5. What are the advantages of implementing GST for businesses?
Ans. The advantages of implementing GST for businesses include: 1. Simplified tax compliance with a single tax structure. 2. Reduction in overall tax burden due to the elimination of cascading taxes. 3. Enhanced competitiveness as businesses can benefit from input tax credits. 4. Improved cash flow management as tax payments are streamlined. 5. Greater transparency and reduced tax evasion due to stringent compliance measures.
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