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A shopkeeper brought 30 dozen oranges for ₹800 and he paid ₹100 for transportation. Five dozen oranges are rotten and cannot be sold. At what price per dozen should the shopkeeper sell the remaining oranges so that he makes a profit of 25%?
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A shopkeeper brought 30 dozen oranges for ₹800 and he paid ₹100 for tr...
Given:
- The shopkeeper bought 30 dozen oranges for ₹800.
- He paid ₹100 for transportation.
- Five dozen oranges are rotten and cannot be sold.
- The shopkeeper wants to make a profit of 25%.

To Find:
- The price per dozen at which the shopkeeper should sell the remaining oranges.

Explanation:
To solve this problem, we need to calculate the cost price of each dozen oranges and then determine the selling price per dozen that would give the shopkeeper a 25% profit.

Step 1: Calculate the cost price per dozen oranges
The total cost of 30 dozen oranges is ₹800. So, the cost price of each dozen oranges can be calculated as:
Cost Price per dozen = Total Cost / Total Dozen
Cost Price per dozen = ₹800 / 30
Cost Price per dozen = ₹26.67 (approx.)

Step 2: Calculate the selling price per dozen oranges
To make a profit of 25%, the selling price per dozen should be 25% more than the cost price per dozen. Let's calculate the selling price per dozen:
Profit = 25% of Cost Price per dozen
Profit = 25/100 * ₹26.67
Profit = ₹6.67 (approx.)

Selling Price per dozen = Cost Price per dozen + Profit
Selling Price per dozen = ₹26.67 + ₹6.67
Selling Price per dozen = ₹33.34 (approx.)

Step 3: Adjust for the rotten oranges
Out of the 30 dozen oranges, 5 dozen are rotten and cannot be sold. So, the remaining oranges that can be sold are 30 - 5 = 25 dozen.

Step 4: Calculate the selling price for the remaining oranges
To find the selling price for the remaining oranges, we multiply the selling price per dozen by the number of dozen oranges:
Selling Price for remaining oranges = Selling Price per dozen * Remaining Dozen
Selling Price for remaining oranges = ₹33.34 * 25
Selling Price for remaining oranges = ₹833.50 (approx.)

Conclusion:
The shopkeeper should sell the remaining oranges at a price of ₹833.50 per dozen in order to make a profit of 25%.
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A shopkeeper brought 30 dozen oranges for ₹800 and he paid ₹100 for transportation. Five dozen oranges are rotten and cannot be sold. At what price per dozen should the shopkeeper sell the remaining oranges so that he makes a profit of 25%?
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A shopkeeper brought 30 dozen oranges for ₹800 and he paid ₹100 for transportation. Five dozen oranges are rotten and cannot be sold. At what price per dozen should the shopkeeper sell the remaining oranges so that he makes a profit of 25%? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A shopkeeper brought 30 dozen oranges for ₹800 and he paid ₹100 for transportation. Five dozen oranges are rotten and cannot be sold. At what price per dozen should the shopkeeper sell the remaining oranges so that he makes a profit of 25%? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper brought 30 dozen oranges for ₹800 and he paid ₹100 for transportation. Five dozen oranges are rotten and cannot be sold. At what price per dozen should the shopkeeper sell the remaining oranges so that he makes a profit of 25%?.
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