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Rutin did a profitable deal. He earned profit equal to selling price of 4 pens on selling 12 pens. The profit percentage is:1. Profit @ 33.33%2. Profit @ 20%3. Profit @ 50%4. Profit @ 25% |
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Answer» Correct Answer - Option 3 : Profit @ 50% Given: Rutin earned a profit of selling price of 4 pens on selling 12 pens. Formula Used: Profit = Selling Price – Cost Price Profit percentage = (Selling price – Cost price) × 100/Cost Price Calculation: Let assume that selling price of 1 pen = Rs. 1 SP ⇒ So, selling price of 12 pens = Rs. 12 SP ⇒ Cost price of 1 pen = Rs. 1 CP ⇒ So, Cost price of 12 pens = Rs. 12 CP ⇒ Profit = Rs. 4 SP According to question Profit = Selling Price – Cost Price ⇒ 4 SP = 12 SP – 12 CP ⇒ 12 CP = 8 SP ⇒ CP/SP = 8/12 ⇒ CP/SP = 2/3 ⇒ CP ∶ SP = 2 ∶ 3 Profit percentage = (Selling price – Cost price) × 100/Cost Price ⇒ Profit percentage = (3x – 2x) × 100/2x ⇒ Profit percentage = 50% ∴ Rutin earned profit of 50%. The correct option is 3 i.e. Profit @ 50%. |
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