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    Question

    Rohan bought a gadget and sold it to Aman at a profit of

    30%. If he had purchased it for Rs. 1,500 less and sold it for Rs. 750 more, his profit would have been 45%. If the gadget is marked Rs. 3,500 above its actual cost and sold after a discount of 10%, what is the profit made?
    A Rs.1200 Correct Answer Incorrect Answer
    B Rs.1256 Correct Answer Incorrect Answer
    C Rs.1025 Correct Answer Incorrect Answer
    D Rs.1570 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the original cost price of gadget be Rs. 100m.

    We have, 1.30 × 100m = Rs. 130m

    ATQ:

    (130m + 750) = 1.45 × (100m - 1,500)

    → 130m + 750 = 145m - 2,175

    → 15m = 2,925

    → m = 195

    Original cost price = 195 × 100 = Rs. 19,500

    Marked price = 19,500 + 3,500 = Rs. 23,000

    Selling price after 10% discount = 0.90 × 23,000 = Rs. 20,700

    Profit = 20,700 - 19,500 = Rs. 1,200

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