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Let the marked price of the shirt be ₹x.
Discount = 45% of ₹x = 45/100 × x = ₹9x/20
SP = ₹(x-9x/20) = ₹(20x-9x/20) = ₹11x/20
11x/20 = 1090
11x = 1090×20 = 21800
x = 21800/11 = ₹1981.81
The marked price of the shirt is ₹1981.81.
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