11. For a trader, marked price of a refrigerator = 15,680 inclusive of GST, (GST is 12%). Gagan, a
customer for this refrigerator, asks the trader to reduce the price of the refrigerater to such an extent
that its reduced price plus GST is equal to the marked price of the refrigerator. Find the required
reduction.
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Answer:
Let us assume the marked price of the refrigerator be Rs. x.
Which is inclusive of GST (12%)
So,
x + 12% of x = 15,680
x = Rs. 14,000
Initial marked price = Rs. 14,000
Now,
Let Gagan asked for priced reduction of Rs. y.
So, the new price = 14,000 – y
And, GST on new price = 12% of (14,000 – y)
From the question,
14,000 – y + 0.12(14,000 – y) = 14,000
-1.12y + 1680 = 0
y = 1500
Therefore, the required reduction in price is Rs. 1500.
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