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Worked Examples · Example 23

Q.A man buys an LCD at ₹40,000 at a discount of 20% on the printed price and sells it at the printed price. If the sales are intra-state and the rate of GST is 12%, find

(a) the price at which the LCD is bought by the retailer,
(b) the price at which the consumer bought the LCD,
(c) the GST paid by the retailer,
(d) the GST paid by the consumer.
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Find the printed (MRP) price from the 20% discount, then compute the retailer's cost, the consumer's price, and the GST (split as CGST + SGST for an intra-state sale) at each stage.

Discounted Price == Printed Price ×(1−discount%)\times(1-\text{discount}\%); GST amount == Price ×GST rate100\times\dfrac{\text{GST rate}}{100}; for an intra-state sale, GST=CGST+SGSTGST=CGST+SGST, each =GST rate2=\dfrac{\text{GST rate}}{2}.

Given: Retailer buys the LCD for ₹40,000 after a 20% discount on the printed price; sells at the printed price; GST rate =12%=12\% (intra-state, so 6%6\% CGST +6%+6\% SGST).

  1. Find the printed price PP: since ₹40,000 is 80%80\% of PP,

40000=P(1−0.20)=0.8P ⇒ P=400000.8=₹50,00040000=P(1-0.20)=0.8P\ \Rightarrow\ P=\dfrac{40000}{0.8}=₹50{,}000

  1. (a) Price at which the retailer buys the LCD (excluding GST — this is the discounted trade price he pays his supplier):

=₹40,000=₹40{,}000

  1. (b) Price at which the consumer buys the LCD == printed price ++ GST on it:

GSTconsumer=50000×12100=6000;Consumer Price=50000+6000=₹56,000GST_{consumer}=50000\times\dfrac{12}{100}=6000;\quad \text{Consumer Price}=50000+6000=₹56{,}000

  1. (c) GST paid by the retailer (on his purchase, at ₹40,000): GSTretailer=40000×12100=₹4,800(CGST =2400, SGST=2400)GST_{retailer}=40000\times\dfrac{12}{100}=₹4{,}800\quad(\text{CGST }=2400,\ \text{SGST}=2400) …

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