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      Question

      The cost price and marked price of a pen are in the ratio

      of 5:8. If the pen is sold with a 10% discount, the shopkeeper makes a profit of Rs. 100. Find the marked price of the pen.
      A Rs.641 Correct Answer Incorrect Answer
      B Rs.467 Correct Answer Incorrect Answer
      C Rs.504 Correct Answer Incorrect Answer
      D Rs.364 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the cost price of the pen be Rs. ‘5x’ and the marked price be Rs. ‘8x’.

      ATQ;

      Selling price of the pen = 8x × 0.9 = Rs. ‘7.2x’

      Profit = 7.2x – 5x = Rs. ‘2.2x’

      So, 2.2x = 100

      Or, x = 45.45

      So, marked price of the pen = 8 × 45.45 = Rs. 364

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