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    Question

    Rohan bought a bookshelf and sold it at a profit of 15%.

    Had he bought it for Rs. 200 less and sold it for Rs. 300 more, he would have earned a profit of 55%. The original cost price of the bookshelf is how much percent more than the reduced cost price of the bookshelf?
    A 16.67% Correct Answer Incorrect Answer
    B 14.28% Correct Answer Incorrect Answer
    C 15.09% Correct Answer Incorrect Answer
    D 33.33% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the original cost price of the bookshelf be Rs. ‘100x’. So the original selling price = 1.15 × 100x = Rs. 115x.   Reduced cost price = Rs. (100x – 200). According to question:   1.55 × (100x – 200) = 115x + 300.   155x – 310 = 115x + 300.   40x = 610.   x = 15.25. So, the original cost price = Rs 1525 the reduced cost price = Rs. 1325   So, the desired percentage = 200/1325 × 100 = 15.09%.

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