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Mathematics

For a trader, 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 marked price of the refrigerator to such an extent that its reduced price plus GST on it is equal to marked price of the refrigerator. Find the required reduction.

GST

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Answer

Let the new M.P. of refrigerator be ₹ x.

According to question,

x+12% of x=15680x+12100x=15680112100x=15680x=15680×100112x=14,000.\Rightarrow x + 12\% \text{ of } x = 15680 \\[1em] \Rightarrow x + \dfrac{12}{100}x = 15680 \\[1em] \Rightarrow \dfrac{112}{100}x = 15680 \\[1em] \Rightarrow x = \dfrac{15680 \times 100}{112} \\[1em] \Rightarrow x = ₹ 14,000.

Reduction in price = ₹ 15680 - ₹ 14000 = ₹ 1680.

Hence, the required reduction in price = ₹ 1680.

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