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The total cost of making shahi paneer is divided into three parts paneer, gravy and fuel in the ratio 2:2:1 . A chef sells it at Rs 260 per plate and makes a profit of 30% . If the prices of paneer and fuel increase by 20% and 10% respectively and the chef does not want to change the selling price of the shahi paneer , what will be his new profit % ?Question 24Answera.18 2/11%b.16 2/11%c.20%d.25%

Question

The total cost of making shahi paneer is divided into three parts paneer, gravy and fuel in the ratio 2:2:1 . A chef sells it at Rs 260 per plate and makes a profit of 30% . If the prices of paneer and fuel increase by 20% and 10% respectively and the chef does not want to change the selling price of the shahi paneer , what will be his new profit % ?Question 24Answera.18 2/11%b.16 2/11%c.20%d.25%

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Solution

Let's break down the problem step by step:

  1. The cost of making Shahi Paneer is divided into three parts: Paneer, Gravy, and Fuel in the ratio 2:2:1. This means for every 5 parts of the total cost, 2 parts are for Paneer, 2 parts are for Gravy, and 1 part is for Fuel.

  2. The chef sells the Shahi Paneer at Rs 260 per plate and makes a profit of 30%. This means the cost price of the Shahi Paneer is 70% of Rs 260, which is Rs 182.

  3. Now, the prices of Paneer and Fuel increase by 20% and 10% respectively. This means the new cost of Paneer is 120% of the original cost and the new cost of Fuel is 110% of the original cost.

  4. The cost of Paneer and Fuel were 2 parts and 1 part of the total cost respectively. So, the new total cost is (2 parts of Paneer * 120% + 2 parts of Gravy + 1 part of Fuel * 110%) = 2.4 parts + 2 parts + 1.1 parts = 5.5 parts.

  5. Since the chef does not want to change the selling price of the Shahi Paneer, the selling price remains Rs 260.

  6. The new cost price is 5.5 parts of the total cost, so each part is Rs 260 / 5.5 = Rs 47.27 approximately.

  7. The new profit is the selling price minus the new cost price, which is Rs 260 - Rs 47.27 * 5.5 = Rs 15.5 approximately.

  8. The new profit percentage is (Profit / Cost price) * 100 = (Rs 15.5 / Rs 47.27 * 5.5) * 100 = 6.02% approximately.

So, the new profit percentage is closest to option (b) 16 2/11%.

This problem has been solved

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