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    • Question

      A shopkeeper marks an article at ₹x and offers a

      discount 23% on it. He sells it for ₹308 after charging VAT of 25% on the discounted price. What is the value of x?  
      A 200 Correct Answer Incorrect Answer
      B 320 Correct Answer Incorrect Answer
      C 400 Correct Answer Incorrect Answer
      D 600 Correct Answer Incorrect Answer

      Solution

      Given:

      • Marked Price = ₹x
      • Discount = 23%
      • VAT = 25% , applied after discount
      • Final Selling Price (including VAT) = ₹308
      Step 1: Discounted Price After 23% discount, price becomes: [ {Discounted Price} = x - (23% of x) = x × (1 - 0.23) = x × 0.77 ] Step 2: Apply VAT Now, 25% VAT is added: [ {Selling Price} = {Discounted Price} × 1.25 = x × 0.77 × 1.25 ] x × 0.77 × 1.25 = 308 x × 0.9625 = 308 x = 308/0.9625 ≈ 320 ]

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