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CloseThe Class 10 is an important year in a student’s life and Maharashtra State Board Maths 1 is one of the subjects that require dedication, hard work, and practice. It’s a subject where you can score well if you are well-versed with the concepts, remember the important formulas and solving methods, and have done an ample amount of practice. Worry not! Home Revise is here to make your Class 10 journey even easier. It’s essential for students to have the right study material and notes to prepare for their board examinations, and through Home Revise, you can cover all the fundamental topics in the subject and the complete Maharashtra State Board Class 10 Maths 1 Book syllabus.
Practice set 4.1 Page no: 87
1. ‘Pawan Medical’ supplies medicines. On some medicines the rate of GST is 12%, then what is the rate of CGST and SGST?
Solution:
We know that CGST and SGST are components of GST.
CGST is always equal to SGST
That is GST = CGST + SGST
Let CGST and SGST be x.
Then GST = x + x
⇒ 12 = 2x
⇒ x = 6%
Hence CGST, SGST = 6%
2. On certain article if rate of CGST is 9% then what is the rate of SGST? and what is the rate of GST?
Solution:
We know that CGST and SGST are components of GST.
CGST is always equal to SGST.
∴ CGST = SGST = 9%
We know that GST = CGST + SGST.
∴ GST = 9% + 9% = 18%
3. ‘M/s. Real Paint’ sold 2 tins of lustre paint and taxable value of each tin is Rs. 2800. If the rate of GST is 28%, then find the amount of CGST and SGST charged in the tax invoice.
Solution:
Given rate of GST = 28%
The taxable value of 1 tin = Rs.2800
∴ Taxable value of 2 tins = Rs.5600
We know that CGST and SGST are components of GST.
CGST is always equal to SGST
i.e. GST = CGST + SGST
Let CGST and SGST be x.
Then GST = x + x
⇒ 28 = 2x
⇒ x = 14%
Hence CGST, SGST = 14%
We know that CGST =
⇒ CGST = 14/100 × 5600
= Rs.784
∵ CGST = SGST
∴ SGST = Rs.784
4. The taxable value of a wrist watch belt is Rs. 586. Rate of GST is 18%. Then what is price of the belt for the customer?
Solution:
Given rate of GST = 18%
Taxable value of wrist watch belt = Rs.586
We know that CGST and SGST are components of GST.
CGST is always equal to SGST
i.e. GST = CGST + SGST
Let CGST and SGST be x.
Then GST = x + x
⇒ 18 = 2x
⇒ x = 9%
Hence CGST, SGST = 9%
We know that CGST =
⇒ CGST =
= Rs.52.74
∵ CGST = SGST
∴ SGST = Rs.52.74
We know that price of a customer = Taxable value + CGST + SGST
∴ Price of belt for customer = 586 + 52.74 + 52.74
= 691.48
Practice set 4.2 Page no: 93
1. ‘Chetana Store ’paid total GST of Rs. 1,00,500 at the time of purchase and collected GST Rs. 1,22,500 at the time of sale during 1st of July 2017 to 31st July 2017. Find the GST payable by Chetana Stores.
Solution:
Given
Output Tax (tax collected at the time of sale) = Rs. 1,22,500
Input Tax (tax paid at the time of purchase) = Rs. 1,00,500
∴ Input Tax Credit, ITC = Rs. 1, 00, 500
We know that GST Payable = Output Tax – ITC
⇒ GST Payable by Chetana stores = 1, 22, 500 – 1, 00, 500
= Rs. 22, 000
2. Nazama is a proprietor of a firm, registered under GST. She has paid GST of Rs. 12,500 on purchase and collected Rs. 14,750 on sale. What is the amount of ITC to be claimed? What is the amount of GST payable?
Solution:
Given
Output Tax (tax collected at the time of sale) = Rs. 14,750
Input Tax (tax paid at the time of purchase) = Rs. 12,500
∴ Input Tax Credit, ITC = Rs. 12, 500
We know that GST Payable = Output Tax – ITC
⇒ GST Payable = 14, 750 – 12, 500
= Rs. 2, 250
3. Amir Enterprise purchased chocolate sauce bottles and paid GST of Rs. 3800. He sold those bottles to Akbari Bros. and collected GST of Rs. 4100. Mayank Food Corner purchased these bottles from Akabari Bros and paid GST of Rs. 4500. Find the amount of GST payable at every stage of trading and hence find payable CGST and SGST.
Solution:
Amir Enterprise:
Input GST = Rs.3800
Output GST = Rs. 4100
∴ GST Payable = Output Tax – ITC
= 4100 – 3800 = Rs. 300
We know that CGST and SGST are components of GST.
CGST is always equal to SGST
i.e. GST = CGST + SGST
Let CGST and SGST be x.
Then GST = x + x
⇒ 300 = 2x
⇒ x = 150
∴ CGST, SGST = Rs. 150
Akbari Bros:
Input GST = Rs. 4100
Output GST = Rs. 4500
∴ GST Payable = Output Tax – ITC
= 4500 – 4100 = Rs. 400
We know that CGST and SGST are components of GST.
CGST is always equal to SGST
i.e. GST = CGST + SGST
Let CGST and SGST be x.
Then GST = x + x
⇒ 400 = 2x
⇒ x = 200
∴ CGST, SGST = Rs. 200
Practice set 4.3 Page no: 102
1. Complete the following table by writing suitable numbers and words.
Solution:
(1) Given that if MV = FV, then the share is at par.
Here, FV = Rs. 100
∴ MV = Rs. 100
(2) Given that if MV >FV, then the share is at premium.
∴ FV = MV – Premium
⇒ FV = 575 – 500 = Rs. 75
(3) Given that FV = Rs. 10 and MV = Rs.3
⇒ FV – MV = 10 – 5 = Rs. 5
We know that if MV <FV, then the share is at discount.
∴ The given share is at discount at Rs. 5.
2. Amol purchased 50 shares of Face Value Rs. 100 when the Market value of the share was Rs. 80. Company had given 20% dividend. Find the rate of return on investment.
Solution:
Given FV = Rs. 100; MV = Rs. 80; D = 20%
On investment of Rs. 80, Amol got Rs. 20.
Let rate of return be x%.
20/80 = x/ 100
¼ = x/100
x = 100/4
⇒ x = 25% (Rate of Return)
3. Joseph purchased following shares, Find his total investment.
Company A: 200 shares, FV = Rs. 2 Premium = Rs. 18.
Company B: 45 shares, MV = Rs. 500
Company C: 1 share, MV = Rs. 10,540.
Solution:
Company A:
Premium = Rs. 18
We know that if MV >FV, then the share is at premium.
∴ MV = FV + Premium
⇒ MV = 2 + 18 = Rs.20
We know that investment = number of shares × MV
∴ Investment in company A = 200 × 20
= Rs. 4000
Company B:
∴ Investment in company B = 45 × 500
= Rs. 22, 500
Company C:
∴ Investment in company C = 1 × 10, 540
= Rs. 10, 540
Joseph has invested 4000 + 22, 500 + 10, 540 = Rs. 37, 040
Practice set 4.4 Page no: 109
1. Market value of a share is Rs. 200. If the brokerage rate is 0.3% then find the purchase value of the share.
Solution:
Given, MV = Rs. 200
Brokerage rate = 0.3%
We know that purchase value of a share = MV + Brokerage
∴ Purchase value of a share = 200 + 0.3% of 200
= 200 + 0.3/100 × 200
= 200 + 0.60
= Rs. 200.60
2. A share is sold for the market value of Rs. 1000. Brokerage is paid at the rate of 0.1%. What is the amount received after the sale?
Solution:
Given, MV = Rs. 1000
Brokerage rate = 0.1%
We know that the selling price for a share = MV – Brokerage rate
∴ Selling price for a share = 1000 – 0.1% of 1000
= 1000 – 1
= 999
3. Fill in the blanks given in the contract note of sale-purchase of shares.
(B –buy S –sell)
Solution:
B-Buy:
We know that Investment (total value) = Number of shares × MV
∴ Total value = 100 × 45
= Rs. 4500
We know that brokerage = Total Value × Brokerage rate
∴ Brokerage = 4500 × 0.2%
= Rs. 9
We know that CGST on brokerage = brokerage × CGST rate
∴ CGST on brokerage = 9 × 9%
= Rs. 0.81
We know that CGST value is equal to SGST value.
∴ SGST on brokerage = Rs. 0.81
We know that total value of shares = Total Value + Brokerage + CGST on brokerage + SGST on brokerage
⇒ Total value of shares = 4500 + 9 + 0.81 + 0.81
= Rs. 4510.62
S-Sell:
Total value = 200 × 75
= Rs. 15000
Brokerage = 15000 × 0.2%
= Rs. 30
CGST on brokerage = 30 × 9%
= Rs. 2.70 = SGST on brokerage
Total value of shares = 15000 + 30 + 2.70 + 2.70
= Rs. 14964.60
Problem set 4a Page no: 109
1. Write the correct alternative for each of the following.
(1) Rate of GST on essential commodities is . . .
A. 5%
B. 12%
C. 0%
D. 18%
Solution:
C. 0%
Explanation:
According to Central board of Exercise and customs the rate of GST on essential commodities is 0%
(2) The tax levied by the central government for trading within state is . . .
A. IGST
B. CGST
C. SGST
D. UTGST
Solution:
B. CGST
Explanation:
The tax levied by the central government for trading is Central Goods and Services Tax.
(3) GST system was introduced in our country from . . .
A. 31st March 2017
B. 1st April 2017
C. 1st January 2017
D. 1st July 2017
Solution:
D. 1st July 2017
Explanation:
GST system was introduced from 1st July 2017
(4) The rate of GST on stainless steel utensils is 18%, then the rate of State GST is . . .
A. 18%
B. 9%
C. 36%
D. 0.9%
Solution:
B. 9%
Explanation:
According to Central board of Exercise and customs the rate of GST on stainless steels and utensils is 9%
(5) In the format of GSTIN there are . . . alpha-numerals.
A. 15
B. 10
C. 16
D. 9
Solution:
A. 15
Explanation:
GSTIN has 15 alpha numerals
(6) When a registered dealer sells goods to another registered dealer under GST, then this trading is termed as . . .
A. BB
B. B2B
C. BC
D. B2C
Solution:
B. B2B
Explanation:
The trading when a dealer sells goods to another registered dealer under GST is termed as B2B.
2. A dealer has given 10% discount on a showpiece of Rs. 25,000. GST of 28% was charged on the discounted price. Find the total amount shown in the tax invoice. What is the amount of CGST and SGST?
Solution:
3. A ready-made garment shopkeeper gives 5% discount on the dress of Rs. 1000 and charges 5% GST on the remaining amount, then what is the purchase price of the dress for the customer?
Solution:
4. A trader from Surat, Gujarat sold cotton clothes to a trader in Rajkot, Gujarat. The taxable value of cotton clothes is Rs. 2.5 lacs. What is the amount of GST at 5% paid by the trader in Rajkot?
Solution:
5. Smt. Malhotra purchased solar panels for the taxable value of Rs. 85,000. She sold them for Rs. 90,000. The rate of GST is 5%. Find the ITC of Smt. Malhotra. What is the amount of GST payable by her?
Solution:
Problem set 4b Page no: 111
1. Write the correct alternative for the following question.
(1) If the Face Value of a share is Rs. 100 and Market value is Rs. 75, then which of the following statements is correct?
A. The share is at premium of Rs. 175
B. The share is at discount of Rs. 25
C. The share is at premium of Rs. 25
D. The share is at discount of Rs. 75
Solution:
B. The share is at discount of Rs. 25
Explanation:
Market value = Rs. 75
Face Value = Rs. 100
If the market value is at a lower price than the face value then the share is in a discount.
Discount = (Face Value-Market value) = Rs. 25
(2) What is the amount of dividend received per share of face value Rs. 10 and dividend declared is 50%.
A. Rs. 50
B. Rs. 5
C. Rs. 500
D. Rs. 100
Solution:
B. Rs. 5
Explanation:
Rate of dividend = 50%
Dividend =
(3) The NAV of a unit in mutual fund scheme is Rs. 10.65 then find the amount required to buy 500 such units.
A. 5325
B. 5235
C. 532500
D. 53250
Solution:
A. 5325
Explanation:
Net Asset Value = (N.A.V. of one unit × No. Of units) = Rs. 5325
(4) Rate of GST on brokerage is . . .
A. 5%
B. 12%
C. 18%
D. 28%
Solution:
C. 18%
Explanation:
Rate of GST on Brokerage is 18% according to Central board of Exercise and customs
(5) To find the cost of one share at the time of buying the amount of Brokerage and GST is to be . . . the MV of share.
A. added to
B. subtracted from
C. Multiplied with
D. divided by
Solution:
A. added to
Explanation:
The Brokerage and GST needs to be added to the Market Value of share at the time of buying.
2. Find the purchase price of a share of FV Rs. 100 if it is at premium of Rs. 30. The brokerage rate is 0.3%.
Solution:
Given
Face Value = Rs. 100
Premium = Rs. 30
Market value = (100 + 30) = Rs. 130
Rate of Brokerage = 0.3%
Brokerage =
Brokerage =
Purchase price = (130 + 0.39) = Rs. 130.39
3. Prashant bought 50 shares of FV Rs. 100, having MV Rs. 180. Company gave 40% dividend on the shares. Find the rate of return on investment.
Solution:
Given
Face Value = Rs. 100
Market value = Rs. 180
Rate of Dividend = 40%
Dividend =
⇒ Dividend =
Number of shares brought = 50
Total investment = (50 × 180) = Rs. 9000
Total profit = (40 × 50) = Rs. 2000
Rate of Return =
4. Find the amount received when 300 shares of FV Rs. 100, were sold at a discount of Rs. 30.
Solution:
Given
Face Value = Rs. 100
Discount = Rs. 30
Market Value = (100-30) = Rs. 70
Number of shares = 300
Amount Received = (70× 300) = Rs. 21,000
5. Find the number of shares received when Rs. 60,000 was invested in the shares of FV Rs. 100 and MV Rs. 120.
Solution:
Given
Market Value = Rs. 120
Amount invested = Rs. 60,000
Number of shares received =