Question : A man sells rice at 8% profit and uses weight 25% less than the actual measure. What is his percentage profit?
Option 1: 44%
Option 2: 41%
Option 3: 23%
Option 4: 36%
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Correct Answer: 44%
Solution : Here cost price is denoted by CP, selling price is denoted by SP. Let the CP of 100 kg rice be Rs. 100 ⇒ SP of 1 kg = $100 × \frac{100+8}{100}$ ⇒ SP of 1 kg = $100 × \frac{108}{100}$ = Rs. 108 25% of 100 kg = $100 × \frac{75}{100}$ = 75 kg The shopkeeper sold 75 kg instead of 100 kg. ⇒ CP of 75 kg = Rs. 75 And, SP of 75 kg = Rs. 108 ⇒ Profit = Rs. 108 – Rs. 75 = Rs. 33 ⇒ Profit % = $\frac{33}{75} × 100$ = 44% Hence, the correct answer is 44%.
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