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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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