Question
An item (Burger) is sold at a
profit of 20%. Determine the cost price of the item (Burger). Statement I: The selling price exceeds the cost price by Rs. 45. Statement II: If the selling price were Rs. 36 higher, the profit would become 36%. The question consists of two statements numbered "l and II" given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Solution
ATQ, Let the cost price of the item be Rs. '100x' So, selling price of the item = 100x X 1.2 = Rs. '120x' Statement I: According to the statement: 120x - 100x = 45 Or, 20x = 45 So, x = 2.25 So, cost price of the item = 100x = 100 X 2.25 = Rs. 225 So, data in statement I alone is sufficient to answer the question. Statement II: According to the statement: 120x + 36 = 100x X 1.36 Or, 120x + 36 = 136x So, 16x = 36 So, x = 2.25 So, cost price of the item = 100x = 100 X 2.25 = Rs. 225 So, data in statement II alone is sufficient to answer the question. So, data either in statement I alone or in statement II alone is sufficient to answer the question. Statement II: According to the statement: 120x + 36 = 100x X 1.36 Or, 120x + 36 = 136x So, 16x = 36 So, x = 2.25 So, cost price of the item = 100x = 100 X 2.25 = Rs. 225 So, data in statement II alone is sufficient to answer the question. So, data either in statement I alone or in statement II alone is sufficient to answer the question.
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