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      Question

      'Amit' purchased 'x' articles at the rate of Rs. 80 per

      article. He sold the articles such that 1st┬аarticle is sold for Rs. 2, 2nd┬аarticle is sold for Rs. 4, 3rd┬аis sold for Rs. 6, and so on. He earned an overall profit of 50%. If considering a certain case in which 'Bunti' purchased (x + 6) articles for Rs. 40 each and sold all the articles at the profit of 80%, then find the selling price of all the articles sold by 'Bunti' in this particular case.
      A Rs. 10,000 Correct Answer Incorrect Answer
      B Rs. 12,000 Correct Answer Incorrect Answer
      C Rs. 9,000 Correct Answer Incorrect Answer
      D Rs. 10,800 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      According to the question, Cost price of 'x' articles = Rs. 80x Selling price of last article = 2 X x = Rs. '2x' {Since, selling price of first article is Rs. 2, second article is Rs. '4', third article is Rs. '6'} Now, 2 + 4 + 6 + .... + 2x = 1.5 X 80x Or, 2(1 + 2 + 3 + .... + x) = 120x Or, (2/2) X {x(x + 1) } = 120x Or, x2┬а+ x = 120x Or, x2┬а- 119x = 0 Or, x(x - 119) = 0 Or, x = 119 Therefore, number of articles purchased by 'Bunti' = (x + 6) = 125 Required selling price = 1.8 x 125 x 40 = Rs. 9000

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