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A trader sells goods to a customer at a profit of k% over the cost price, besides it he cheats his customer by giving 880 g only instead of 1 kg. Thus his overall profit percentage is 255. Find the value of k?

a) 8.33%
b) 12.5%
c) 8.25%
d) 10%

Answer: d
Explanation: % Profit = $$\frac{{25}}{{100}}$$ = $$\frac{{120 + {\text{k}}}}{{880}}$$
k = 100
Net % profit = $$\frac{{100 \times 100}}{{1000}}$$   = 10%

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