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    Question

    When a lamp and a table are sold at 10% profit and 25%

    profit, respectively, the seller earns Rs. 30 more in comparison when they are sold by interchanging their profit percentages. If the cost price of the table is 40% more than the cost price of the lamp, what is the cost price of the lamp?
    A Rs.500 Correct Answer Incorrect Answer
    B Rs.650 Correct Answer Incorrect Answer
    C Rs.750 Correct Answer Incorrect Answer
    D Rs.400 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the cost price of the lamp and the table be Rs. x and Rs. y respectively. According to the question, (1.10x+1.25y)−(1.25x+1.10y)=30 Or, y−x=300 Given y=1.4x Therefore, 1.4x−x=300 Or, 300.4x=30 Or, x=300/0.4=Rs.750 Therefore, cost price of the lamp = Rs. 750

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