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    By selling a watch for a certain amount. Deepika suffered a loss of 10%. By selling the same watch for 140 more, she would have gained 4%. What was th
    Question

    By selling a watch for a certain amount. Deepika suffered a loss of 10%. By selling the same watch for 140 more, she would have gained 4%. What was the cost price of the watch?


    A.

    1140

    B.

    1000

    C.

    860

    D.

    760

    Correct option is B

    Given:

    Loss = 10%

    By selling the same watch  Rs. 140 moreGain is 4%.

    Solution:

    Let the cost price be Rs. 100

    Case1

    selling price when loss is 10%

    SP = Rs. 100 – 10%

             Rs. 100 – 10

             = Rs. 90

    Case 2

    selling price when gain is 4%

     Rs. 100 + 4 = Rs. 104

    According to question case 2 - case1 

    Difference = Rs. (104 – 90) = Rs. 14

    If the difference is Rs. 14, the cost price = Rs. 100

    If the difference is Rs. 140, the cost price = Rs. 100/14 × 140

    => Rs. 1000

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