The marks price of an article is 4500.after allowing some percent of and levying 10% VAT it is sold at 4400, find the discount percent

The discount percent for the given transaction is calculated as; 6.11%
We are given;
Mark Price; M.P = 4500
Now, formula for discount amount is;
Discount amount = %Discount * M.P
Discount amount = x% * 4500 = 45x
Also;
Selling price is;
S.P = M.P - Discount Amount
S.P = 4500 - 45x
VAT = Vat% * S.P
VAT = (10%*4500) - 45x
VAT = 450 - 45x
S.P with VAT = S.P + VAT Amount = 4500 - 45x + 450 - 45x = 4950 - 90x
Thus;
4950 - 90x = 4400
Solving for x gives;
x = 6.11%
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