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Question
The list price of a camera is ₹ 6272 inclusive of tax (under GST) at the rate of 12% on the list price. Ram wants a discount on the list price so that after including GST, the price becomes equal to the listed price. Find the amount of discount which the seller gives for the deal.
Sum
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Solution
Listed price including GST = ₹ 6,272
GST rate = 12%
Discount is given on the list price (before GST)
After discount + GST, final price = ₹ 6,272
Let the list price (before GST) = ₹ x
L + 12% of L = 6,272
1.12L = 6,272
L = `(6,272)/1.12`
L = ₹ 5,600
x + (12% of x) = 5,600
1.12x = 5,600
x = `(5,600)/1.12`
x = 5,000
Discount = L – x
= 5600 – 5000
= 600
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