If goods be purchased for 450 and one third sold at a loss of 10%. At what gain percent should the remainder be sold so as to gain 20% on the whole transaction?
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Answer:
Cp of goods = 450
Gain =20%
Sp of goods = 120/100*450 = 540
Cp of 1/3 goods = 1/3×450 = 150
Sp of all goods = 10% loss
=90/100×150 = 135
Sp of remaining goods =
Sp of all goods - Sp of 1/3 goods
= 540-135 = 405
Cp of remaining goods =
Cp of all goods - Cp of 1/3 goods
= 450-150 = 300
Gain = Sp - Cp
= 405 - 300 = 105
Gain % = 105/300×100
= 35%
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