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Option 5 : IV

Consider CP/1000 gm = Rs. 100

Profit % in case I = 20%

Considering case II,

CP of 800 gm sugar = 800/1000 × 100 = Rs. 80

⇒ Profit % in case II = (100 - 80)/80 × 100 = 25%

Considering case III,

If he adds 10% impurities in sugar, then his CP for 1 kg sugar = 1000/1100 × 100 = Rs. 90.9

⇒ Profit % in case III = (100 - 90.9)/90.9 × 100 = 10.01%

Considering case IV,

If he reduces weight by 20% and increase price by 20%,

Cost price of 800 gm = 800/1000 × 100 = Rs. 80

Selling price = 1.2 × 100 = Rs. 120

⇒ Profit % in case IV = (120 - 80)/80 × 100 = 50%

∴ Profit is maximum in case IV

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