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    Question

    Selling price of article β€˜A’ when sold at a profit

    of 50% is Rs. 100 more than its selling price when sold at a loss of 30%. If the cost price of article β€˜B’ is Rs. 80 more than that of β€˜A’, then find the cost price of article β€˜B’.
    A Rs. 205 Correct Answer Incorrect Answer
    B Rs. 200 Correct Answer Incorrect Answer
    C Rs. 215 Correct Answer Incorrect Answer
    D Rs. 225 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the cost price of article β€˜A’ = Rs. β€˜100y’ Then, selling price of the article when it is sold at a profit of 50% = 1.50 Γ— 100y = Rs. β€˜150y’ And, selling price of the article when it is sold at a loss of 30% = 0.70 Γ— 100y = Rs. β€˜70y’ According to the question, 150y – 70y = 100 Or, y = (100/80) Or, y = 1.25 So, cost price of article β€˜A’ = 100 Γ— 1.25 = Rs. 125 Therefore, cost price of article β€˜B’ = 125 + 80 = Rs. 205

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