Maharashtra Board Class 11 Maths Part 2 Chapter 9 Commercial Mathematics 9.6 Solutions

Std 11 Maths 2 Exercise 9.6 Solutions Commerce Maths

 

Question 1.M/s Janaseva sweet mart sold sweets of Rs. 3,86,000. What CGST and SGST he will pay if the rate of GST is 5%?
Answer:Given that M/s Janaseva sweet mart sold sweets of Rs. 3,86,000
\( \therefore \) Bill amount = Rs. 3,86,000
GST payable at the rate 5%
\( \therefore \) CGST and SGST applicable is 2.5% each
\( \therefore \) CGST on the bill = \( \frac{2.5}{100} \times 3,86,000 = \) Rs. 9650
and SGST on the bill = \( \frac{2.5}{100} \times 3,86,000 = \) Rs. 9650
In simple words: When M/s Janaseva sweet mart sold sweets worth Rs. 3,86,000 with a 5% GST rate, the total GST is split equally into CGST and SGST. Both CGST and SGST amount to Rs. 9650 each.

🎯 Exam Tip: Remember that CGST and SGST are always calculated as half of the total GST rate when a transaction occurs within the same state.

 

Question 2.Janhavi Gas Agency purchased some gas cylinders for Rs. 5,00,000 and sold them to the customers for Rs. 5,90,000. Find the amount of GST payable and the amount of ITC. 5% GST is applicable.
Answer:Given that, Janhavi Gas Agency purchased some gas cylinders for Rs. 5,00,000 and GST applicable is 5%.
\( \therefore \) Input tax (ITC) = 5% of 5,00,000
= \( \frac{5}{100} \times 5,00,000 \)
= Rs. 25,000
Janhavi Gas Agency sold the gas cylinders for Rs. 5,90,000
\( \therefore \) Output tax for Janhavi Gas Agency = 5% of 5,90,000
= \( \frac{5}{100} \times 5,90,000 \)
= Rs. 29,500
GST payable = \( \text{Output tax – Input tax (ITC)} \)
= \( 29,500 – 25,000 \)
= Rs. 4500
\( \therefore \) GST payable for Janhavi Gas Agency is Rs. 4,500 and ITC is Rs. 25,000.
In simple words: Janhavi Gas Agency bought cylinders for Rs. 5,00,000 and sold them for Rs. 5,90,000, with a 5% GST. The input tax credit (ITC) on purchase was Rs. 25,000, and the output tax on sale was Rs. 29,500. The net GST payable is Rs. 4,500.

🎯 Exam Tip: GST payable is always the difference between Output Tax and Input Tax Credit (ITC). Clearly state both ITC and GST payable in your final answer.

 

Question 3.A company dealing in mobile phones purchased mobile phones worth Rs. 5,00,000 and sold the same to customers at Rs. 6,00,000. Find the amount of ITC and amount of GST if the rate of GST is 12%.
Answer:Given that the rate of GST applicable is 12%.
The company purchased mobile phones worth Rs. 5,00,000.
\( \therefore \) Input tax (ITC) = 12% of 5,00,000
= \( \frac{12}{100} \times 5,00,000 \)
= Rs. 60,000
The company dealing in mobile phones sold the same to customers at Rs. 6,00,000.
\( \therefore \) Output tax of the company = 12% of 6,00,000
= \( \frac{12}{100} \times 6,00,000 \)
= Rs. 72,000
GST payable for the company = \( \text{Output tax – Input tax (ITC)} \)
= \( 72,000 – 60,000 \)
= Rs. 12,000
\( \therefore \) The ITC for the company is Rs. 60,000 and GST payable is Rs. 12,000.
In simple words: A mobile phone company bought phones for Rs. 5,00,000 and sold them for Rs. 6,00,000, with a 12% GST rate. The Input Tax Credit (ITC) for the company is Rs. 60,000, and after adjusting the output tax of Rs. 72,000, the GST payable is Rs. 12,000.

🎯 Exam Tip: Always calculate ITC based on the purchase price and output tax based on the selling price to correctly determine the net GST payable.

 

Question 4.Prepare business to customers (B2C) tax invoice using given information. Write the name of supplier, address, state, Date, Invoice Number, GSTIN etc. as per your choice
Supplier: __________
Address: __________
State: __________
Date: __________
Invoice No: __________
GSTIN: __________
Particular: Rate of Sarees – 2750
Rate of GST 5% HSN 5407 – 2 pcs
Rate of Kurta – Rs. 750
Rate of GST 12% HSN 5408
Answer:Solution:
Supplier: M/s Swaglife Fashions
Address: 143, Shivaji Rasta, Mumbai 400001
Mobile No. 9263692111
Email: abc@gmail.com
State: Maharashtra
Date: 31/08/19
Invoice No: GST/110
GSTIN: 27ABCDE1234HIZS

Sr no.	HSN Code	Name of product	Rate	Quantity	Taxable amount	CGST		SGST		Total
						Rate	Tax	Rate	Tax
1	5407	Sarees	Rs. 2750	2 Pcs	Rs. 5500	6%	Rs. 330	6%	Rs. 330	Rs. 6160
2	5408	Kurta	Rs. 750	1 Pcs	Rs. 750	6%	Rs. 45	6%	Rs. 45	Rs. 840
					Total	Rs. 375		Rs. 375		Rs. 7000

\( \therefore \) Rate of 1 saree = Rs. 2750
\( \therefore \) Rate of 2 sarees = \( 2 \times 2750 = \) Rs. 5500
\( \therefore \) GST on sarees = 12% of 5500
= \( \frac{12}{100} \times 5500 \)
= Rs. 660
\( \therefore \) CGST = SGST = Rs. 330
\( \therefore \) Rate of 1 Kurta = Rs. 750
\( \therefore \) GST on Kurta = 12% of 750
= \( \frac{12}{100} \times 750 \)
= Rs. 90
\( \therefore \) CGST = SGST = Rs. 45
In simple words: This question requires creating a tax invoice for sales including sarees and a kurta. The invoice details the supplier, customer information, item descriptions, individual rates, quantity, taxable amounts, and then calculates CGST and SGST (6% each for a total of 12% GST) for each item, leading to a total bill amount.

🎯 Exam Tip: When preparing an invoice, ensure all details like HSN Code, GSTIN, and individual tax calculations (CGST/SGST) are accurately filled. Double-check percentage calculations for each item before totaling.

 

Question 5.Heena Enterprise sold cosmetics worth Rs. 25,000 to Leena traders, a retailer. Leena Traders sold it further to Meena Beauty Products for Rs. 30,000. Meena Beauty Product sold it further to the customers for Rs. 40,000. The rate of GST is 18%. Find
(i) GST Payable by each party
(ii) CGST and SGST
Answer:Solution:
The trading chain,
ℹ️ चित्र व्याख्या (Diagram Explanation): यह चित्र एक व्यापारिक श्रृंखला को दर्शाता है जहाँ वस्तुओं का क्रय-विक्रय कई चरणों में होता है। इसमें हीना एंटरप्राइजेज ने लीना ट्रेडर्स को Rs. 25,000 में सामान बेचा, फिर लीना ट्रेडर्स ने मीना ब्यूटी प्रोडक्ट्स को Rs. 30,000 में बेचा, और अंततः मीना ब्यूटी प्रोडक्ट्स ने ग्राहकों को Rs. 40,000 में बेचा। हर चरण में लागू जीएसटी दर और लेन-देन की राशि स्पष्ट रूप से दर्शायी गई है।

\( \therefore \) Output tax for Heena Enterprises = 18% of 25,000
= \( \frac{18}{100} \times 25,000 \)
= Rs. 4,500
\( \therefore \) GST payable by Heena Enterprises = Rs. 4,500 (since there is no prior purchase for Heena in this chain, Input Tax = 0)
Now output tax for Leena traders = 18% of 30,000
= \( \frac{18}{100} \times 30,000 \)
= Rs. 5,400
\( \therefore \) GST payable by Leena traders = Output tax – Input tax
= \( 5,400 – 4,500 \)
= Rs. 900
\( \therefore \) Output tax for Meena beauty products = 18% of 40,000
= \( \frac{18}{100} \times 40,000 \)
= Rs. 7,200
\( \therefore \) GST payable by Meena beauty products = Output tax – Input tax
= \( 7,200 – 5,400 \)
= Rs. 1,800
(ii) Now, CGST = SGST = \( \frac{\text{GST}}{2} = 9\% \)
\( \therefore \) Statement of GST payable at each stage can be tabulated as:

Party	GST payable	CGST payable	SGST payable
Heena Enterprises	Rs. 4,500	Rs. 2,250	Rs. 2,250
Leena traders	Rs. 900	Rs. 450	Rs. 450
Meena beauty products	Rs. 1,800	Rs. 900	Rs. 900

In simple words: This problem tracks cosmetics sales through a supply chain: Heena to Leena (Rs. 25,000), Leena to Meena (Rs. 30,000), and Meena to customers (Rs. 40,000), all at 18% GST. Each party pays GST based on their value addition: Heena pays Rs. 4,500, Leena pays Rs. 900, and Meena pays Rs. 1,800. These total GST amounts are then split equally into CGST and SGST for each party.

🎯 Exam Tip: For multi-stage transactions, meticulously calculate output tax and input tax credit at each step to find the correct GST payable. Remember, CGST and SGST are always half of the total GST payable in intra-state transactions.

 

Question 6.'Chitra furnishings' purchased tapestry (curtain cloth) for Rs. 28,00,000 and sold for Rs. 44,80,000. Rate of GST is 5%. Find
(i) Input Tax
(ii) Output Tax
(iii) ITC
(iv) CGST and SGST
Answer:Solution:
Given, that 'Chitra furnishings' purchased tapestry (curtain cloth) for Rs. 28,00,000 and rate of GST is 5%
(i) Input tax = 5% of 28,00,000
= \( \frac{5}{100} \times 28,00,000 \)
= Rs. 1,40,000
The tapestry was sold at Rs. 44,80,000
(ii) Output tax = 5% of 44,80,000
= \( \frac{5}{100} \times 44,80,000 \)
= Rs. 2,24,000
(iii) Now ITC = Input tax = Rs. 1,40,000
GST payable = \( \text{Output tax – ITC} \)
= \( 2,24,000 – 1,40,000 \)
= Rs. 84,000
(iv) CGST = SGST = \( \frac{\text{GST Payable}}{2} \)
= \( \frac{84,000}{2} \)
= Rs. 42,000
\( \therefore \) CGST = SGST = Rs. 42,000
In simple words: Chitra furnishings bought tapestry for Rs. 28,00,000 and sold it for Rs. 44,80,000, with a 5% GST. The input tax was Rs. 1,40,000, and the output tax was Rs. 2,24,000. The net GST payable is Rs. 84,000, which is split equally into CGST and SGST, resulting in Rs. 42,000 for each.

🎯 Exam Tip: Clearly list all four requested components: Input Tax, Output Tax, ITC (which is equal to Input Tax here), and then separately calculate CGST and SGST as half of the net GST payable.

 

Question 7.Two friends 'Aditi' and 'Vaishali' went to a restaurant. They ordered 2 Masala Dosa costing Rs. 90 each 2 coffee costing Rs. 60 each and 1 sandwich costing Rs. 80. GST is charged at 5%. Find the Total amount of the bill including GST.
Answer:Solution:
Aditi and Vaishali ordered for 2 Masala Dosas, 2 Coffees and 1 Sandwich
\( \therefore \) Total price of their order = \( 2 \times 90 + 2 \times 60 + 80 = \) Rs. 380
GST is charged at 5%
\( \therefore \) GST on the total order = 5% \( \times 380 \)
= \( \frac{5}{100} \times 380 \)
= Rs. 19
\( \therefore \) Total bill amount including GST = \( 380 + 19 = \) Rs. 399
In simple words: Aditi and Vaishali's restaurant bill calculated their items' total cost first: Rs. 180 for dosas, Rs. 120 for coffee, and Rs. 80 for a sandwich, summing to Rs. 380. A 5% GST on this total added Rs. 19, making their final bill Rs. 399.

🎯 Exam Tip: First, calculate the subtotal of all items ordered. Then, apply the given GST percentage to this subtotal to find the GST amount. Finally, add the GST amount to the subtotal to get the final bill amount.