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    If after three successive discounts of 20%, 25% and 35%, an item is sold for ₹33,150,what is its marked price (in ₹)?
    Question

    If after three successive discounts of 20%, 25% and 35%, an item is sold for ₹33,150,what is its marked price (in ₹)?

    A.

    90,000

    B.

    87,000

    C.

    85,000

    D.

    82,000

    Correct option is C

    Given:

    Successive discounts of 20%, 25%, and 35%.

    The final selling price after discounts is ₹33,150.

    Formula Used:

    The price after successive discounts can be calculated using the formula:

    Selling Price = Marked Price × (1 − Discount1) × (1 − Discount2) × (1 − Discount3)

    Solution: 

    Discount1 = 20% = 0.20

    Discount2 = 25% = 0.25

    Discount3 = 35% = 0.35 

    Now, 

    33,150 = Marked Price × (1 − 0.20) × (1 − 0.25) × (1 − 0.35)

    33,150 = Marked Price × 0.80 × 0.75 × 0.65

    33,150 = Marked Price × 0.39

    Marked Price = 33,1500.39 \frac{33,150}{0.39}​ = 85,000

    Thus, the marked price of the item is ₹85,000

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