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    Question

    What was the cost price of an item that a shopkeeper

    sold at a 20% discount after initially marking it up by 60%, resulting in a profit of Rs. 126?
    A Rs.400 Correct Answer Incorrect Answer
    B Rs.450 Correct Answer Incorrect Answer
    C Rs.350 Correct Answer Incorrect Answer
    D Rs.320 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let cost price of the article is Rs. 100x Marked price of the article = 1.60 × 100x = Rs. 160x Selling price of the article = 0.80 × 160x = Rs. 128x According to question; 128x – 100x = 126 Or, 28x = 126 Or, x = 4.5 Cost price of the article = 4.5 × 100 = Rs. 450

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