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a fruit seller bought apples for rupees 1200 write the cost price of each apple in terms of X If 10 of the Apples were rotten and he sold each of the rest at rupees 10 more than the cost price of each write the selling price of x-10 apples if he had made profit of 60 rupees in this transaction form an equation in x solver to evaluate x |
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Answer» Let the number of apples BOUGHT be x then the COST price of each apple is 1200/x If 10 rot the new number is x - 10 The selling price for the remaining apples is 1200 + 60 = 1260 1260/(x - 10) is the selling price of each apple. This is EQUIVALENT to the cost price plus 10 which is as shown : 1200/x + 10 To solve for x, we equate the two. That is : 1200/x + 10 = 1260 / (x - 10) 1200 (x - 10) + 10x (x - 10) = 1260x 1200x - 12000 + 10x² - 100x = 1260x 1260x - 1200x + 100x - 10x² + 12000 = 0 10x² - 160x - 12000 = 0 Dividing through by 10 we have : x² - 16x - 1200 = 0 From this we solve for x using quadratic formula. The equation is THUS : x² - 16x - 1200 = 0 |
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