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      Question

      A shopkeeper marks an item 50% above its cost price. He gives a discount of 20% on the marked price and then charges 10% GST on the discounted price. If the final price paid by the customer is Rs 594, find the cost price of the item.

      A Rs.330 Correct Answer Incorrect Answer
      B Rs.450 Correct Answer Incorrect Answer
      C Rs.625 Correct Answer Incorrect Answer
      D Rs.265 Correct Answer Incorrect Answer

      Solution

      Let cost price = C. Marked price = 1.5C After 20% discount: Discounted price = 1.5C × 0.8 = 1.2C After 10% GST: Final price = 1.2C × 1.1 = 1.32C Given: 1.32C = 594 C = 594 / 1.32 1.32 = 132/100 ⇒ C = 594 × 100 / 132 = 59400 / 132 132×450 = 59400 (since 132×45=5940) So C = Rs 450.

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