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Select the correct answerSome fruits are bought at a rate of 11 for 100 rupees and an equal number at a rate of 9 for 100 rupees. If all the fruits are sold at a rate of 10 for 100 rupees, then what is the gain or loss percent in the entire transaction?OptionsLoss, 5%Gain, 5%Gain, 1%Loss, 1%

Question

Select the correct answerSome fruits are bought at a rate of 11 for 100 rupees and an equal number at a rate of 9 for 100 rupees. If all the fruits are sold at a rate of 10 for 100 rupees, then what is the gain or loss percent in the entire transaction?OptionsLoss, 5%Gain, 5%Gain, 1%Loss, 1%

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Solution

The question is asking for the gain or loss percent in the entire transaction. Here's how you can solve it:

Step 1: Calculate the cost price of the fruits.

The first set of fruits are bought at a rate of 11 for 100 rupees, so the cost price of each fruit is 100/11 = 9.09 rupees.

The second set of fruits are bought at a rate of 9 for 100 rupees, so the cost price of each fruit is 100/9 = 11.11 rupees.

Step 2: Calculate the average cost price.

Since an equal number of fruits are bought at each rate, the average cost price of the fruits is (9.09 + 11.11)/2 = 10.10 rupees.

Step 3: Calculate the selling price of the fruits.

All the fruits are sold at a rate of 10 for 100 rupees, so the selling price of each fruit is 100/10 = 10 rupees.

Step 4: Calculate the gain or loss percent.

The formula for gain or loss percent is ((Selling Price - Cost Price)/Cost Price) * 100.

So, the gain or loss percent is ((10 - 10.10)/10.10) * 100 = -1%.

Since the result is negative, this means there is a loss in the transaction.

So, the correct answer is "Loss, 1%".

This problem has been solved

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