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The following question is accompanied by two statements (I) and (II). You have to determine which statements(s) is/are sufficient/necessary to answer the questions.The cost price, selling price and market price of a product are in arithmetic progression. If the cost price and selling price are interchanged what is the ratio of profit % made initially to discount % offered after interchanging was done?I. The product was marked up by 40% initially.II. The discount offered initially was 20%.1. If statement I along is sufficient to answer the question and statement II along is not sufficient to answer the question.2. If statement II along is sufficient to answer the question and statement I along is not sufficient to answer the question.3. If each statement alone can answer the question.4. If both statement together are needed to answer the question.5. If question can’t be answered even after using both statement together. |
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Answer» Correct Answer - Option 3 : If each statement alone can answer the question. Let the initial cost price be “x” Selling price = s Market price = m According to given information s – x = m – s 2s = m + x ----(I) Profit percentage made initially, p = (s – x)/x × 100 When cost piece and selling price are interchanged, new discount percentage d = (m – x)/m × 100 Required ratio = p/d = m(s – x)/x(m - x) = m/2x [from (I)] Statement I m = 1.4x p/d = 3/2x = 1.4x/2x = 0.7 Statement II s = 0.8m 2s = m + x 1.6m = m + x 0.6m = x m/x = 10/6 p/d = m/2x = 10/12 = 0.833 Hence, each statement alone can answer the question. |
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