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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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