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    A product is priced at ₹10,000. A wholesaler offers a trade discount of 20%. On the discounted price, a scheme discount of 10% is offered. However, if
    Question

    A product is priced at ₹10,000. A wholesaler offers a trade discount of 20%. On the discounted price, a scheme discount of 10% is offered. However, if the customer pays in cash, an additional 5% discount is given on the final price after both discounts. What is the final price the customer has to pay?

    A.

    ₹6,840

    B.

    ₹7,000

    C.

    ₹6,940

    D.

    ₹6,800

    Correct option is A

    Given:

    Marked price = ₹10,000

    Trade discount = 20%

    Scheme discount = 10% (on discounted price)

    Additional cash discount = 5% (on final price after both discounts)

    Concept Used:

    Successive discounts

    Final Price = MP × (1 – d₁) × (1 – d₂) × (1 – d₃)

    where, d = dicount%

    Solution:

    Final Price = 10000×(120100)×(110100)×(15100)10000 \times \left(1 - \frac{20}{100}\right)\times \left(1 - \frac{10}{100}\right)\times \left(1 - \frac{5}{100}\right)

     =10000×(80100)×(90100)×(95100) =1×8×9×95 =6840=10000 \times \left(\frac{80}{100}\right)\times \left( \frac{90}{100}\right)\times \left( \frac{95}{100}\right) \\ \ \\ = 1\times8\times9\times95 \\ \ \\ = ₹6840

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