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Discussion

  1. Two third of a consignment was sold at a profit of 5% and the remainder at a loss of 2%. If the total profit was Rs. 400, the value of the consignment (in rupees) was :
    1. 15000
    2. 20000
    3. 10000
    4. 12000
  1. Correct Option: A

    The best way is to go through option. Consider option (a)
    Total profit = 15000 x ( 2 / 3 ) x 5 %
    = 15000 x ( 2 / 3 ) x ( 5 / 100) = 500

    Total loss = 15000 x ( 1 / 3 ) x 2 %
    = 5000 x ( 1 / 3 ) x ( 2 / 100) = 100

    Net gain = ( 500 - 100 ) = Rs. 400
    Hence: option (a) is correct.

    Alternatively : [( 1.05 X 2x/3 + 0.98 x/3) - x] = 400
    ∴ x=15000


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