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    Amit bought 50 pencils from a shopkeeper at a price of Rs. 3 per pencil, and then sold 15 pencils for Rs. 3.5 per pencil and the remaining at Rs. 2.5
    Question

    Amit bought 50 pencils from a shopkeeper at a price of Rs. 3 per pencil, and then sold 15 pencils for Rs. 3.5 per pencil and the remaining at Rs. 2.5 per pencil. Calculate the percentage loss/profit that Amit had (rounded off to two decimal places).

    A.

    Loss 6.67%

    B.

    Profit 6.67%

    C.

    Profit 3.27%

    D.

    Loss 3.27%

    Correct option is A

    Given:

    Amit bought 50 pencils at Rs. 3 each

    He sold:

      15 pencils at Rs. 3.5 each 

      Remaining 35 pencils at Rs. 2.5 each 

      Formula Used:

      Profit/Loss % = SPCPCP×100\frac{SP - CP}{CP} \times 100​​

      Solution:

      Cost Price (CP) = 50 × 3 = Rs. 150

      SP₁ = 15 × 3.5 = Rs. 52.5

      SP₂ = 35 × 2.5 = Rs. 87.5

      Total Selling Price (SP) = 52.5 + 87.5 = Rs. 140

      Since SP < CP → it's a Loss

      Loss = 150 - 140 = Rs. 10

      Loss % = 10150×100 \frac{10}{150} \times 100​ = 6.67%

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