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    Question

    A shopkeeper sold a pair of shoes

    with a 28% discount and earned a profit of Rs. 150. If the cost price of the shoes had been 20% lower and a 16% discount had been applied, the profit would have been Rs. 300 higher. Determine the original cost price of the shoes.
    A Rs.652 Correct Answer Incorrect Answer
    B Rs.520 Correct Answer Incorrect Answer
    C Rs.750 Correct Answer Incorrect Answer
    D Rs.700 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let marked price of the shoes be Rs. 100x Selling price of the shoes = 0.72 × 100x = Rs. 72x Cost price of the shoes = Rs. (72x – 150) According to question; 0.84 × 100x – 0.80 × (72x – 150) = 450 Or, 84x – 57.6x + 120 = 450 Or, 26.4x = 330 Or, x = 12.5 Desired answer = 72 × 12.5 – 150 = Rs.750

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