ICSE Class 10 Math Solutions

Class 10 Math Solutions

Goods and Services Tax (GST) - Exercise 1

Chapter 1: Goods and Services Tax (GST)

Exercise 1

1. A manufacturer sells a T.V to a dealer for Rs. 18000 and the dealer sells it to a consumer at a profit of Rs 1500. If the sales are intra-state and the rate of GST is 12%, find:

  • (i) The amount of GST paid by the dealer to the State Government.
  • (ii) The amount of GST received by the Central Government.
  • (iii) The amount of GST received by the State Government.
  • (iv) The amount that the consumer pays for the TV.

Since this is an intra-state transaction, SGST = CGST = \( \frac{1}{2} \) GST.

Amount of GST collected by the manufacturer:

\( 6\% \times 18000 = \frac{6}{100} \times 18000 = 1080 \)

The manufacturer will pay Rs. 1080 as CGST and Rs. 1080 as SGST.

Amount of GST collected by the dealer from the customer:

\( 6\% \times 19500 = \frac{6}{100} \times 19500 = 1170 \)

(i) GST paid by the dealer to the State Government:

\( 1170 - 1080 = 90 \)

(ii) Amount of GST received by the Central Government:

\( 1080 + 90 = 1170 \)

(iii) Amount of GST received by the State Government:

\( 1080 + 90 = 1170 \)

(iv) Total amount paid by the consumer:

\( 19500 + 1170 + 1170 = 21840 \)

2. A shopkeeper buys a camera at a discount of 20% from a wholesaler. The printed price of the camera is Rs. 1600. The shopkeeper sells it to a consumer at the printed price. If the sales are intra-state and the rate of GST is 12%, find:

  • (i) GST paid by the shopkeeper to the Central Government.
  • (ii) GST received by the Central Government.
  • (iii) GST received by the State Government.
  • (iv) The amount at which the consumer bought the camera.

CP of camera for shopkeeper:

\( 1600 - (20\% \times 1600) = 1600 - 320 = 1280 \)

Amount of GST paid by shopkeeper:

\( 6\% \times 1280 = 76.80 \)

(i) GST paid by shopkeeper to the Central Government:

\( 6\% \times 1600 = 96 \)

\( 96 - 76.80 = 19.20 \)

(ii) GST received by the Central Government:

\( 76.80 + 19.20 = 96 \)

(iii) GST received by the State Government:

\( 76.80 + 19.20 = 96 \)

(iv) Total amount paid by the consumer:

\( 1600 + 96 + 96 = 1792 \)

3. A manufacturer sells a washing machine to a wholesaler for Rs. 15000. The wholesaler sells it to a trader at a profit of Rs. 1200, and the trader sells it to a consumer at a profit of Rs. 1800. If all the sales are intra-state and the rate of GST is 12%, find:

  • (i) The amount of tax (under GST) received by the State Government from the wholesaler.
  • (ii) The amount of tax (under GST) received by the Central Government from the trader.
  • (iii) The amount that the consumer pays for the machine.

Understanding GST in Intra-State Transactions:

GST is equally divided into two parts:

  • CGST (Central Goods and Services Tax) - Collected by the Central Government.
  • SGST (State Goods and Services Tax) - Collected by the State Government.

Since GST is 12%, it is divided as:

\( \text{CGST} = \text{SGST} = \frac{12\%}{2} = 6\% \)

Step 1: GST Paid by Wholesaler to Manufacturer

\( \text{GST} = 12\% \times 15000 = 1800 \)

\( \text{CGST} = 6\% \times 15000 = 900 \)

\( \text{SGST} = 6\% \times 15000 = 900 \)

Step 2: GST Paid by Trader to Wholesaler

\( \text{SP by Wholesaler} = 15000 + 1200 = 16200 \)

\( \text{GST} = 12\% \times 16200 = 1944 \)

\( \text{CGST} = 6\% \times 16200 = 972 \)

\( \text{SGST} = 6\% \times 16200 = 972 \)

Tax received by State Government from the wholesaler:

\( 972 - 900 = 72 \)

Step 3: GST Paid by Consumer to Trader

\( \text{SP by Trader} = 16200 + 1800 = 18000 \)

\( \text{GST} = 12\% \times 18000 = 2160 \)

\( \text{CGST} = 6\% \times 18000 = 1080 \)

\( \text{SGST} = 6\% \times 18000 = 1080 \)

Tax received by Central Government from the trader:

\( 1080 - 972 = 108 \)

Final Amount Paid by the Consumer:

\( 18000 + 1080 + 1080 = 20160 \)

Summary of Tax Received:

  • Tax received by State Government from Wholesaler: Rs. 72
  • Tax received by Central Government from Trader: Rs. 108
  • Total amount paid by Consumer: Rs. 20160

4. A dealer buys an article at a discount of 30% from the wholesaler, the marked price being Rs. 6000. The dealer sells it to a consumer at a discount of 10% on the marked price. If the sales are intra-state and the rate of GST is 5%, find:

  • (i) The amount paid by the consumer for the article.
  • (ii) The tax (under GST) paid by the dealer to the State Government.
  • (iii) The amount of tax (under GST) received by the Central Government.

Understanding GST and Intra-State Transactions

The Goods and Services Tax (GST) is a value-added tax applied to the supply of goods and services. In the case of intra-state sales, the tax is equally divided between:

CGST = SGST = 5% / 2 = 2.5%

Given Data:

  • Marked Price (MP) = Rs. 6000
  • Discount given by wholesaler = 30%
  • Discount given by dealer to consumer = 10%
  • GST rate = 5% (i.e., CGST = 2.5%, SGST = 2.5%)

Step 1: Cost Price for Dealer

CP for Dealer = 6000 - (30% × 6000) = 6000 - 1800 = 4200

GST Paid by Dealer to Wholesaler:

CGST = 2.5% × 4200 = 105

SGST = 2.5% × 4200 = 105

Step 2: Selling Price for Consumer

SP for Consumer = 6000 - (10% × 6000) = 6000 - 600 = 5400

GST Paid by Consumer to Dealer:

CGST = 2.5% × 5400 = 135

SGST = 2.5% × 5400 = 135

Total Amount Paid by Consumer:

5400 + 135 + 135 = 5670

Step 3: Tax Calculation

(i) The amount paid by the consumer for the article: Rs. 5670

(ii) The tax (under GST) paid by the dealer to the State Government: Rs. 30

(iii) The amount of tax (under GST) received by the Central Government: Rs. 30

5. The marked price of an article is Rs. 7500. The wholesaler sells it to the dealer at a 20% discount. The dealer sells it to the consumer at a discount of 10% on the marked price. The rate of GST is 12%. If the sales are intra-state, find:

  • (i) The amount paid by the consumer for the article.
  • (ii) The tax (under GST) paid by the dealer to the State Government.
  • (iii) The amount of tax (under GST) received by the Central Government.

Given Data:

  • Marked Price (MP) = Rs. 7500
  • Discount given by wholesaler = 20%
  • Discount given by dealer to consumer = 10%
  • GST rate = 12% (i.e., CGST = 6%, SGST = 6%)

Step 1: Cost Price for Dealer

CP for Dealer = 7500 - (20% × 7500) = 7500 - 1500 = 6000

GST Paid by Dealer to Wholesaler:

CGST = 6% × 6000 = 360

SGST = 6% × 6000 = 360

Step 2: Selling Price for Consumer

SP for Consumer = 7500 - (10% × 7500) = 7500 - 750 = 6750

GST Paid by Consumer to Dealer:

CGST = 6% × 6750 = 405

SGST = 6% × 6750 = 405

Total Amount Paid by Consumer:

6750 + 405 + 405 = 7560

Step 3: Tax Calculation

(i) The amount paid by the consumer for the article: Rs. 7560

(ii) The tax (under GST) paid by the dealer to the State Government: Rs. 45

(iii) The amount of tax (under GST) received by the Central Government: Rs. 45

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