A reduction of 10% in the price of a pen enabled a trader to purchase 9 more for Rs.540. What is the reduced price of the pen?

• let the initial price of one pen = x Rs.
  so no. of pens purchased in Rs. 540= 540/x
  now reduced price of one pen= x-x*10/100 =9x/10
  now no. of pens purchased through this new reduced rate of pen= 540/9x*10 = 600/x
  now,
  according to question,
  600/x - 500/x = 9
  x= 60/9
  therefore reduced price of pen = 9x/10 = 9/10 * 60/9 = 6 ans
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