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Rajan sells sugar and wants to make maximum profit from it but he is very poor in mathematics. His friend gave him three options by which he can get maximum profit. Which of the following options should Rajan choose to receive maximum profit?1. Sell sugar at 25% profit.2. Use 800 grams instead of 1000 grams and sells it at cost price3. Mix 25% impurities in sugar and sells it at cost price.4. All three options give same profit. |
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Answer» Correct Answer - Option 4 : All three options give same profit. Considering option 1, Profit % = 25% Considering option 2, Let cost price of 1000 grams be Rs. 100 Cost price of 800 grams = Rs. (800/1000) × 100 ⇒ Rs. 80 Selling Price of 800 grams = Rs. 100 Profit = SP - CP ⇒ 100 - 80 ⇒ Rs. 20 Profit % = (Profit/CP) × 100 ⇒ (20/80) × 100 ⇒ 25% Considering option 3, He mixes 25% impurities Let he mixes 20 grams impurities in every 80 grams Let cost price of 100 grams be Rs. 100 Cost price of 80 grams = Rs. 80 Selling Price of 80 grams = Rs. 100 Profit = SP - CP ⇒ 100 - 80 ⇒ Rs. 20 Profit % = (Profit/CP) × 100 ⇒ (20/80) × 100 ⇒ 25% The profit percent for all three options are the same. ∴ Rajan can choose any one of the options. |
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