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    Question

    Ravi purchases two wrist watches for a total of Rs. 600.

    He sells one watch at 4/5 of its cost price and the other at 6/5 of its cost price, and makes an overall profit of Rs. 60. What is the cost price of the cheaper watch?
    A Rs.150 Correct Answer Incorrect Answer
    B Rs.100 Correct Answer Incorrect Answer
    C Rs.200 Correct Answer Incorrect Answer
    D Rs.240 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the cost price of one watch = Rs. x Then, cost price of the other watch = Rs. (600 тАУ x) According to the question, x ├Ч 4/5 + (600 тАУ x) ├Ч 6/5 = 600 + 60 4x/5 + 3600/5 тАУ 6x/5 = 660 4x/5 тАУ 6x/5 = 660 тАУ 720 тАУ2x/5 = тАУ60 x = (тАУ60 ├Ч 5)/(тАУ2) x = 150 Cost price of first watch = Rs. 150 Cost price of second watch = 600 тАУ 150 = Rs. 450 Hence, Between тВ╣150 and тВ╣450, the cheaper watch is тВ╣150 .

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