A merchant allows a discount of 10% for cash payment. How much percent above the cost price must he marks his goods so as to make a profit of 17% allowing the discount.
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Let the cost price of the item be ‘ x ‘.
Let the marked price be ‘y’.
Discount offered = 10%
Then the selling price = 0.9y
Profit = 17%
Hence we have, 1.17x = 0.9y
Hence y = 1.17x/0.9 =1.3x
Hence the marked price must be kept 30% more than the cost price.
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