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A trader buys 800 kgs of tomatoes for Rs 7200. 10% tomatoes are damaged in transportation. At what rate (Rs/Kg) should he sell the rest to earn 30% profit?

Question

A trader buys 800 kgs of tomatoes for Rs 7200. 10% tomatoes are damaged in transportation. At what rate (Rs/Kg) should he sell the rest to earn 30% profit?

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Solution

Sure, here is the step by step solution:

Step 1: Calculate the weight of the damaged tomatoes. 10% of 800 kgs = 80 kgs

Step 2: Subtract the weight of the damaged tomatoes from the total weight to find the weight of the good tomatoes. 800 kgs - 80 kgs = 720 kgs

Step 3: Calculate the total cost price of the good tomatoes. The trader bought all the tomatoes for Rs 7200, so the cost price of the good tomatoes is also Rs 7200.

Step 4: Calculate the total selling price to earn a 30% profit. 30% of Rs 7200 = Rs 2160 So, the total selling price = cost price + profit = Rs 7200 + Rs 2160 = Rs 9360

Step 5: Calculate the selling price per kg. Selling price per kg = total selling price / weight of the good tomatoes = Rs 9360 / 720 kgs = Rs 13 per kg

So, the trader should sell the rest of the tomatoes at Rs 13 per kg to earn a 30% profit.

This problem has been solved

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