5% merchandise of a trader was stolen and another 5% was damaged during transportation. At what profit (in %) should he sell the rest of the merchandise so that he can make an overall profit of 20%?

5% merchandise of a trader was stolen and another 5% was damaged during transportation. At what profit (in %) should he sell the rest of the merchandise so that he can make an overall profit of 20%? Correct Answer 33.33%

The remaining is (100 - 5 - 5)% = 90% of the merchendise unit.The difference between merchandise and profit = (120 - 90) = 30 unit90% merchandise (unit) has to make 30 unit profit ⸫ 1% " " " " <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>30</mn><mn>90</mn></mfrac></math> " "⸫ 100% " " " " <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>30</mn><mo>&#xD7;</mo><mn>100</mn></mrow><mn>90</mn></mfrac></math> " " = 33.33%
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