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The number of units of a product sold in three different years and the respective net profits are presented in the figure above. The cost/unit in year 3 was Rs. 1, which was half the cost/unit in year 2. The cost/unit in year 3 was one-third of the cost/unit in year 1. Taxes were paid on the selling price at 10%, 13%, and 15% respectively for the three years. Net profit is calculated as the difference between the selling price and the sum of cost and taxes paid in that year. The ratio of the selling price in Year 2 to the selling price in Year 3 is ____.
Given:Cost/unit in year 3 = Rs. 1Cost/unit in year 2 = Rs. 2Cost/unit in year 1 = Rs. 3Calculation:Net Profit = S.P. - (Cost + Taxes)In year 2,296 = S.P. - (2 x 200 + 0.13 S.P.)S.P. = 800 Selling price in year 2 = Rs. 800In year 3,210 = S.P. - (300 x 1 + 0.15 S.P.)210 = S.P. - 300 - (0.15 S.P.) S.P. = \({{210 + 300} \over {1-0.15}}\)Selling price in year 3 = Rs. 600Hence, Required ratio = 800: 600 = 4 : 3
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