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A fruit seller bought 75kg apples at Rs 30 per kg . He sold one-third apple at a loss of 5%.At what rate should he sell the remaining so that his overall gain is 10%?
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A fruit seller bought 75kg apples at Rs 30 per kg . He sold one-third ...
**Given Information:**
- The fruit seller bought 75kg of apples at Rs 30 per kg.
- He sold one-third of the apples at a loss of 5%.
- He wants to achieve an overall gain of 10%.
**Calculating the Loss:**
To find the loss incurred on selling one-third of the apples at a loss of 5%, we need to calculate the total cost of the apples sold and compare it with the selling price.
1. Total Cost of Apples Bought:
The fruit seller bought 75kg of apples at Rs 30 per kg, so the total cost of apples bought is:
Total Cost = 75kg * Rs 30/kg = Rs 2250
2. Apples Sold at a Loss:
One-third of the apples were sold, which is equal to:
Apples Sold = (1/3) * 75kg = 25kg
3. Cost of Apples Sold:
The cost of apples sold at a loss is:
Cost of Apples Sold = 25kg * Rs 30/kg = Rs 750
4. Selling Price of Apples Sold:
Since the apples were sold at a loss of 5%, the selling price would be:
Selling Price = Cost of Apples Sold - (Loss % * Cost of Apples Sold)
Selling Price = Rs 750 - (5/100 * Rs 750) = Rs 712.50
5. Loss Incurred:
The loss incurred on selling one-third of the apples can be calculated as:
Loss = Cost of Apples Sold - Selling Price
Loss = Rs 750 - Rs 712.50 = Rs 37.50
**Calculating the Selling Price for the Remaining Apples:**
To achieve an overall gain of 10%, we need to calculate the selling price for the remaining apples.
1. Remaining Apples:
The remaining apples are equal to:
Remaining Apples = Total Apples Bought - Apples Sold
Remaining Apples = 75kg - 25kg = 50kg
2. Total Cost of Remaining Apples:
The total cost of the remaining apples can be calculated as:
Total Cost of Remaining Apples = Remaining Apples * Cost per kg
Total Cost of Remaining Apples = 50kg * Rs 30/kg = Rs 1500
3. Desired Overall Gain:
The desired overall gain is 10%, which means the selling price should be 110% of the cost price.
4. Selling Price for the Remaining Apples:
To calculate the selling price for the remaining apples, we use the formula:
Selling Price = Cost Price + Desired Profit
Selling Price = Rs 1500 + (10/100 * Rs 1500) = Rs 1650
**Conclusion:**
The fruit seller should sell the remaining apples at a rate of Rs 1650 per kg in order to achieve an overall gain of 10%.
- The fruit seller bought 75kg of apples at Rs 30 per kg.
- He sold one-third of the apples at a loss of 5%.
- He wants to achieve an overall gain of 10%.
**Calculating the Loss:**
To find the loss incurred on selling one-third of the apples at a loss of 5%, we need to calculate the total cost of the apples sold and compare it with the selling price.
1. Total Cost of Apples Bought:
The fruit seller bought 75kg of apples at Rs 30 per kg, so the total cost of apples bought is:
Total Cost = 75kg * Rs 30/kg = Rs 2250
2. Apples Sold at a Loss:
One-third of the apples were sold, which is equal to:
Apples Sold = (1/3) * 75kg = 25kg
3. Cost of Apples Sold:
The cost of apples sold at a loss is:
Cost of Apples Sold = 25kg * Rs 30/kg = Rs 750
4. Selling Price of Apples Sold:
Since the apples were sold at a loss of 5%, the selling price would be:
Selling Price = Cost of Apples Sold - (Loss % * Cost of Apples Sold)
Selling Price = Rs 750 - (5/100 * Rs 750) = Rs 712.50
5. Loss Incurred:
The loss incurred on selling one-third of the apples can be calculated as:
Loss = Cost of Apples Sold - Selling Price
Loss = Rs 750 - Rs 712.50 = Rs 37.50
**Calculating the Selling Price for the Remaining Apples:**
To achieve an overall gain of 10%, we need to calculate the selling price for the remaining apples.
1. Remaining Apples:
The remaining apples are equal to:
Remaining Apples = Total Apples Bought - Apples Sold
Remaining Apples = 75kg - 25kg = 50kg
2. Total Cost of Remaining Apples:
The total cost of the remaining apples can be calculated as:
Total Cost of Remaining Apples = Remaining Apples * Cost per kg
Total Cost of Remaining Apples = 50kg * Rs 30/kg = Rs 1500
3. Desired Overall Gain:
The desired overall gain is 10%, which means the selling price should be 110% of the cost price.
4. Selling Price for the Remaining Apples:
To calculate the selling price for the remaining apples, we use the formula:
Selling Price = Cost Price + Desired Profit
Selling Price = Rs 1500 + (10/100 * Rs 1500) = Rs 1650
**Conclusion:**
The fruit seller should sell the remaining apples at a rate of Rs 1650 per kg in order to achieve an overall gain of 10%.
Community Answer
A fruit seller bought 75kg apples at Rs 30 per kg . He sold one-third ...
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A fruit seller bought 75kg apples at Rs 30 per kg . He sold one-third apple at a loss of 5%.At what rate should he sell the remaining so that his overall gain is 10%?
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A fruit seller bought 75kg apples at Rs 30 per kg . He sold one-third apple at a loss of 5%.At what rate should he sell the remaining so that his overall gain is 10%? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A fruit seller bought 75kg apples at Rs 30 per kg . He sold one-third apple at a loss of 5%.At what rate should he sell the remaining so that his overall gain is 10%? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A fruit seller bought 75kg apples at Rs 30 per kg . He sold one-third apple at a loss of 5%.At what rate should he sell the remaining so that his overall gain is 10%?.
A fruit seller bought 75kg apples at Rs 30 per kg . He sold one-third apple at a loss of 5%.At what rate should he sell the remaining so that his overall gain is 10%? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A fruit seller bought 75kg apples at Rs 30 per kg . He sold one-third apple at a loss of 5%.At what rate should he sell the remaining so that his overall gain is 10%? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A fruit seller bought 75kg apples at Rs 30 per kg . He sold one-third apple at a loss of 5%.At what rate should he sell the remaining so that his overall gain is 10%?.
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