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A dishonest dealer professes to sell his goods at cost price but uses a weight of 875 gms for the kilogram weight. His gain in the percentage is = ?

A dishonest dealer professes to sell his goods at cost price but uses a weight of 875 gms for the kilogram weight. His gain in the percentage is = ? Correct Answer $$14\frac{2}{7}$$%

Let dealer purchase 1000 gm in Rs. 1000
But at selling time sold 875 gm in place of 1000 gm
So,
$$\eqalign{ & {\text{Profit }}\% = \frac{{1000 - 875}}{{875}} \times 100 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 14\frac{2}{7}\% \cr} $$

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