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For a trader, the marked price of a refrigerator = ₹ 15,680 exclusive of GST (GST is 12%). Gagan, a customer for this refrigerator, asks the trader to reduce the price of the refrigerator to such an - Mathematics

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Question

For a trader, the marked price of a refrigerator = ₹ 15680 exclusive of GST (GST is 12%). Gagan, a customer for this refrigerator, asks the trader to reduce the price of the refrigerator to such an extent that its reduced price plus GST is equal to the marked price of the refrigerator. Find the required reduction.

Sum

Solution

Let the marked price be ₹ x.

x + 12% of x = 15680

x + 12x100 = 15680

100x+12x100 = 15680

112x100 = 15680

x = 15680112×100

x = ₹ 14000

Initial marked price = ₹ 14000

∴ Marked price of refrigerator excluding

GST = ₹ 14000

Let the reduced price = ₹ x

Then reduced price + GST = Marked Price

∴ x + 12% of x = ₹ 14000

112x100

⇒ ₹ 14000

⇒ x = ₹(14000×100112)

= ₹ 12500

∴ Required reduction is given by the trader

= ₹ (14000 - 12500)

= ₹ 1500

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Gst Tax Calculation
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Chapter 1: GST (Goods And Service Tax) - Exercise 1 (B) [Page 18]

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Selina Mathematics [English] Class 10 ICSE
Chapter 1 GST (Goods And Service Tax)
Exercise 1 (B) | Q 10 | Page 18

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