Tuesday, 2 April 2013

Q6: A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs 90, find the number of articles produced and the cost of each article.


Q6: A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs 90, find the number of articles produced and the cost of each article.

Answer:  Let the number of articles produced =   x
Given that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day.
  So that the cost of production of each article = Rs 2 x + 3 
Given that If the total cost of production on that day was Rs 90
So that production cost = Rs 90
      x(2x + 3) = 90
    2 x2 + 3x – 90 = 0
Number of articles produced = 6
Cost of each article = 2 × 6 + 3 = Rs 15

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