Class 10 Math Solutions
Chapters
- Chapter 1: Goods and Services Tax (GST)
- Chapter 2: Banking
- Chapter 3: Linear Inequations
- Chapter 4: Quadratic Equations in One Variable
- Chapter 5: Ratio and Proportion
- Chapter 6: Factorization
- Chapter 7: Matrices
- Chapter 8: Arithmetic Progression
- Chapter 9: Co-ordinate Geometry
- Chapter 10: Similarity
- Chapter 11: Loci
- Chapter 12: Circles
- Chapter 13: Mensuration
- Chapter 14: Trigonometry
- Chapter 15: Statistics
- Chapter 16: Probability
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
Chapter 2: Banking
Content for Banking solutions...
Chapter 3: Linear Inequations
Content for Linear Inequations solutions...
Chapter 4: Quadratic Equations in One Variable
Content for Quadratic Equations...
Chapter 5: Ratio and Proportion
Content for Ratio and Proportion...
Chapter 6: Factorization
Content for Factorization...
Chapter 7: Matrices
Content for Matrices...
Chapter 8: Arithmetic Progression
Content for Arithmetic Progression...
Chapter 9: Co-ordinate Geometry
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Chapter 10: Similarity
Content for Similarity...
Chapter 11: Loci
Content for Loci...
Chapter 12: Circles
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Chapter 13: Mensuration
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Chapter 14: Trigonometry
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Chapter 15: Statistics
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Chapter 16: Probability
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