the marked price of an article is rs 4000 and rate of gst is 12%.A shopkeeper allows a discount of 15% and still makes a profit of 10%.Find the original price and s.p including gst..
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Answer:
Say, x% discount was offered on the marked price.
Marked price = 4000 rupees.
Discount = (x / 100) * 4000 rupees = 40x rupees.
Selling price excluding GST = (4000 - 40x) rupees = 40 * (100 - x) rupees.
Selling price including GST = 40 * (100 - x) * {1 + (13 / 100)} rupees = 40 * (100 - x) * 1.13 rupees.
Now, 40 * (100 - x) * 1.13 = 3616
Or, 45.2 * (100 - x) = 3616
Or, (100 - x) = 80
Or, x = 20.
So, the discount was 20%.
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