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ATQ, Let the marked price and cost price of the Sugar bag be Rs. '7x' and Rs. '4x', respectively. Statement I: Let the profit % earned and discount % allowed on selling the Sugar bag be 7y% and 8y% respectively. According to the statement: 4x × {(7y + 100) /100} = 600 ...... (I) And 7x × {(100 - 8y) /100} = 600 ....... (II) On comparing equation (I) and (II) , we have; 4x × {(7y + 100) /100} = 7x × {(100 - 8y) /100} Or, 28y + 400 = 700 - 56y Or, 84y = 300 So, y = (25/7) So, profit % = 7 × (25/7) = 25% So, data in statement I alone is sufficient to answer the question. Statement II: According to the statement: (7x - 600) = 2 × (600 - 4x) Or, 7x - 600 = 1200 - 8x Or, 15x = 1800 So x = 120 So, cost price of the article = 120 × 4 = Rs. 480 So, profit earned = 600 - 480 = Rs. 120 So, profit % = (120/480) × 100 = 25% So, data in statement II alone is sufficient to answer the question
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