A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price ?



A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price ?

A. Rs 1000

B. Rs 1140

C. Rs 860

D. Rs 760

Answer : A. Rs 1000


Explanation:

    Let the cost price of the watch be x.
    It was sold for 10% loss that is 90x/100

    If it was sold for 140 more, the price would be 90x/100 + 140 and this would be 4% gain which is 104x/100

    So, 104x/100 = 90x/100 + 140
    Multiply through by 100, we have
    104x =90x + 14000
    Subtract 90x from both sides, we have
    14x = 14000
    Divide both sides by 14, we have
    x = 1000
    So, the cost price is 1000


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