1. Sell sugar 10% profit
  2. Use 900 g of weight instead of 1 kg
  3. Mix 10% impurities in sugar and sell sugar at cost price
  4. Increase the price by 5% and reduce the weight by 5%

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Answer: Option 2

We find the net profit in each case : 1 → In this case, profit = 10% $$\eqalign{ & 2 \to {\text{Profit}} = \left( {\frac{{100}}{{900}} \times 100} \right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 11\frac{1}{9}\% \cr} $$ 3 → Let C.P. of sugar be Rs. 1 per kg Then, he mixes 100 gm impurities and realizes the C.P. of 1.1 kg sugar by selling 1 kg of sugar. S.P. of sugar = Rs. 1.10 per kg. $$\eqalign{ & \therefore {\text{Profit}} = \left( {\frac{{0.1}}{1} \times 100} \right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10\% \cr} $$ 4 → Let C.P. of sugar be Rs. 1 per kg. Since he weighs 950 gm instead of a kg, his actual C.P. = Rs. 0.95 S.P. = 105% of Rs. 1 = Rs. 1.05 $$\eqalign{ & \therefore {\text{Profit}} = \left( {\frac{{0.10}}{{0.95}} \times 100} \right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10\frac{{10}}{{19}}\% \cr} $$ Clearly, the maximum profit is earned when he used a 900 gm weight for a kg.

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