A fruit seller buys 100 bananas for Rs 40. Twenty bananas are spoiled and thrown away. At what rate should he sell the remaining so as to gain 10% ?

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cost: 40

desired revenue: 40*1.10 = 44

now divide that by the 80 good bananas to get the price for each banana.

To find the rate at which the fruit seller should sell the remaining bananas, we need to consider a few steps:

Step 1: Calculate the number of good bananas remaining.
Since 20 bananas are spoiled and thrown away, the number of good bananas remaining would be 100 - 20 = 80 bananas.

Step 2: Calculate the cost of each banana.
The fruit seller buys 100 bananas for Rs 40, so the cost of each banana would be 40/100 = Rs 0.40.

Step 3: Calculate the total cost of the good bananas.
The total cost of the good bananas would be the cost of each banana multiplied by the number of good bananas, which is 0.40 * 80 = Rs 32.

Step 4: Calculate the selling price of the good bananas to gain a 10% profit.
To calculate the selling price, we need to add the profit percentage to the cost price. Since the desired profit is 10%, we need to add 10% of the cost price to the cost price. So, the selling price would be 32 + 10% of 32.

To calculate 10% of 32:
10/100 * 32 = 3.2

Therefore, the selling price should be 32 + 3.2 = Rs 35.2

Therefore, the fruit seller should sell the remaining bananas at a rate of Rs 35.2 in order to gain a 10% profit.