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Select the correct answerA trader buys jowar at Rs.30 per kg. 20% of the grain gets wasted. He plans to sell the remaining grain so that he makes 40% overall profit. At what price (in Rs. per kg) should he sell the grain?Options4852.547.550

Question

Select the correct answerA trader buys jowar at Rs.30 per kg. 20% of the grain gets wasted. He plans to sell the remaining grain so that he makes 40% overall profit. At what price (in Rs. per kg) should he sell the grain?Options4852.547.550

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Solution

To solve this problem, we need to first determine the cost price of the grain that the trader can actually sell (i.e., the 80% that is not wasted).

Step 1: Determine the cost price of the usable grain The trader buys the grain at Rs. 30 per kg, but 20% gets wasted. So, the cost price per kg of the usable grain is Rs. 30 / 0.80 = Rs. 37.5.

Step 2: Calculate the selling price to make a 40% profit The trader wants to make a 40% profit on the cost price. So, the selling price per kg should be 140% of the cost price.

Therefore, the selling price = 140/100 * 37.5 = Rs. 52.5.

So, the trader should sell the grain at Rs. 52.5 per kg to make a 40% overall profit. The correct answer is 52.5.

This problem has been solved

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