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 )
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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 )
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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
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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
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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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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
Content for Co-ordinate Geometry…
Chapter 10: Similarity
Content for Similarity…
Chapter 11: Loci
Content for Loci…
Chapter 12: Circles
Content for Circles…
Chapter 13: Mensuration
Content for Mensuration…
Chapter 14: Trigonometry
Content for Trigonometry…
Chapter 15: Statistics
Content for Statistics…
Chapter 16: Probability
Content for Probability…
