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    Question

    Sunita bought a bicycle and sold it at a profit of 30%.

    Had she bought it for Rs. 600 less and sold it for Rs. 660 more, she would have earned a profit of 75%. The original cost price of the bicycle is how much percent more than the reduced cost price of the bicycle?
    A 18.75% Correct Answer Incorrect Answer
    B 12.25% Correct Answer Incorrect Answer
    C 15.09% Correct Answer Incorrect Answer
    D 25% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ┬а Let the original cost price of the bicycle be Rs. тАШ100xтАЩ. ┬а So the original selling price = 1.30 ├Ч 100x = Rs. 130x. ┬а Reduced cost price = Rs. (100x тАУ 600). ┬а According to question: ┬а 1.75 ├Ч (100x тАУ 600) = 130x + 660. ┬а 175x тАУ 1050 = 130x + 660. ┬а 45x = 1710. ┬а x = 38. ┬а So, the original cost price = Rs 3800 the reduced cost price = Rs 3200, ┬а So, the desired percentage = 600/3200 ├Ч 100 = 18.75%

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