Note:
Q1: A shopkeeper buy goods worth ₹ 4000 and sells these at a profit of 20% to a consumer in the same state. If GST is charged at 5%, find:
(i) the selling price (excluding tax) of the goods.
(ii) CGST paid by the consumer.
(iii) SGST paid by the consumer.
(iv) the total amount paid by the consumer.
Solution:
(i) Actual price of the goods = ₹4000
When sold at a profit of 20%
Profit = (20/100) x ₹4000 = ₹800
Thus, the selling price (excluding tax) of the goods will be
= Actual price + profit
= ₹4000 + ₹800
= ₹4800
The GST charged is 5%
(ii) CGST paid by the consumer = 2.5% of the selling price
= (2.5/100) x ₹4800
= ₹120
(iii) SGST paid by the consumer = 2.5% of the selling price
= (2.5/100) x ₹4800
= ₹120
(iv) Thus, the total amount paid by the consumer = selling price + CGST + SGST
= ₹4800 + ₹120 + ₹120
= ₹5040
Q2: A shopkeeper in Delhi buys an article at the printed price of Rs 24000 from a wholesaler in Mumbai. The shopkeeper sells the article to a consumer in Delhi at a profit of 15% on the basic cost price. if the rate of GST is 12%, find:
(i) The price inclusive of tax (under GST) at which the wholesaler bought the article.
(ii) The amount which the consumer pays for the article.
(iii) The amount of tax (under GST) received by the State Government of Delhi.
(iv) The amount of tax (under GST) received by the Central Government.
Solution:
Given:
(i) The price inclusive of tax (under GST) at which the wholesaler bought the article.
CP of an article for shopkeeper = ₹24000
Rate of GST = 12%
IGST collected by wholesaler from shopkeeper = 12% of ₹24000
= (12/100) × 24000
= ₹2880
The price inclusive of tax (under GST) at which the wholesaler bought the article =
CP of article for shopkeeper + IGST paid by shopkeeper to wholesaler = ₹24000 + ₹2880
= ₹26880
(ii) The amount which the consumer pays for the article.
CP of an article for shopkeeper = ₹24000
Profit on CP of article = 15% of CP
SP of an article by the shopkeeper to consumer = CP + Profit
= ₹24000 + 15% of ₹24000
= ₹24000 + (15/100) × 24000
= ₹24000 + 3600
= ₹27600
The amount which the consumer pays for the article = CP of article for consumer + CGST paid by the consumer + SGST paid by consumer =
₹27600 + 6% of ₹27600 + 6% of ₹27600 =
₹27600 + (6/100) × ₹27600 + (6/100) × ₹27600 = ₹27600 + ₹1656 + ₹1656
= ₹30912
(iii) The amount of tax (under GST) received by the State Government of Delhi.
Amount of IGST for shopkeeper = ₹2880
SP of an article to consumer = CP of article for shopkeeper + profit on basic CP
= ₹24000 + 15% of ₹24000
= ₹24000 + (15/100) × ₹24000
= ₹24000 + ₹3600
= ₹27600
As the shopkeeper sells an article to consumer in Delhi; so this sales is Intra-state sales.
Amount of GST collected by shopkeeper from consumer,
CGST = SGST = 6% of ₹27600
= (6/100) × ₹27600
= ₹1656
Amount of tax paid by shopkeeper to state govt. = ₹2880 – ₹1656 = ₹1224
The amount of tax (under GST) received by the State Government of Delhi =
₹1656 – ₹1224 = ₹432
(iv) The amount of tax (under GST) received by the Central Government.
The amount of tax (under GST) received by the Central Government = IGST received from wholesaler + CGST received from shopkeeper = ₹ 2880 + NIL = ₹ 2880
Q3: A retailer buys an article at a discount of 15% on the printed price from a wholesaler. He marks up the price by 10% on the printed price but due to competition in the market, he allows a discount of 5% on the marked price to a buyer. If the rate of GST is 12% and the buyer pays ₹468.16 for the article inclusive of tax (under GST), find
(i) the printed price of the article
(ii) the profit percentage of the retailer
Solution:
(i) Let the printed price of the article be ₹x
The retailer marks up the price by 10% on the printed price
So, the marked price by the retailer = ₹x + 10% of ₹x
= ₹x + ₹0.1x
= ₹1.1x
Due to competition the retailer allows discount of 5% on the marked price, then
The selling price of the article = ₹1.1x – discount
Discount = 5% of ₹1.1x
= ₹ (5/100) x 1.1x
= ₹0.055x
The rate of GST = 12%
The tax (under GST) for the purchase = 12% of the selling price set by the retailer
= 12% of ₹ (1.1x – 0.055x)
= ₹ (12/100) x (1.045x)
Thus, the price of the article inclusive of GST = ₹1.045x + ₹ (12/100) x (1.045x)
Given, the buyer pays ₹468.16 for the article inclusive of tax (under GST)
So,
1.045x + (12/100) x (1.045x) = 468.16
1.045x + 0.1254x = 468.16
1.1704x = 468.16
x = 468.16/1.1704
x = ₹400
Therefore, the printed price of the article is ₹400
(ii) The retailer buys at 15% discount on the printed price and sells at 5% discount for the marked price of 10% on the printed price
So,
Bought at = 400 – 15% of ₹400 = ₹400 – ₹60 = ₹340
Sold at = (₹400 + 10% of ₹400) – 5% of (₹400 + 10% of ₹400)
= ₹(400 + 40) – [(5/100) x ₹400 + 40)]
= ₹440 – ₹ (0.05 x 440)
= ₹440 – ₹22
= ₹418
So, profit = Selling price – cost price = ₹418 – ₹340 = ₹78
Hence, the profit percentage = (78/340) x 100 = 22.94%
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