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A shopkeeper makes a profit of Q% by selling an object for Rs. 24. Had the cost price and selling price been interchanged, it would have led to a loss of 62.5Q%. with the latter cost price, what should be the new selling price to get a profit of Q%?
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A shopkeeper makes a profit of Q% by selling an object for Rs. 24. Had...
Given Information:
- Profit made by selling an object for Rs. 24 = Q%
- If cost price and selling price were interchanged, it would lead to a loss of 62.5Q%

Calculating Cost Price and Selling Price:
Let the cost price be Rs. x and selling price be Rs. y.
According to the given information:
Profit = Selling Price - Cost Price
Q% = 24 - x
y = x + Q% of x
If cost price and selling price were interchanged:
Loss = Cost Price - Selling Price
62.5Q% = x - y
62.5Q% = x - (x + Q% of x)
Solving the above equations, we get:
x = 40Q
y = 64Q

Calculating New Selling Price for a Profit of Q%:
To calculate the new selling price for a profit of Q%, we need to find the selling price when the cost price is 64Q.
New selling price = 64Q + Q% of 64Q
New selling price = 64Q + 0.01 * 64Q
New selling price = 64Q + 0.64Q
New selling price = 64.64Q
Therefore, the new selling price to get a profit of Q% should be Rs. 64.64.
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A shopkeeper makes a profit of Q% by selling an object for Rs. 24. Had the cost price and selling price been interchanged, it would have led to a loss of 62.5Q%. with the latter cost price, what should be the new selling price to get a profit of Q%?
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A shopkeeper makes a profit of Q% by selling an object for Rs. 24. Had the cost price and selling price been interchanged, it would have led to a loss of 62.5Q%. with the latter cost price, what should be the new selling price to get a profit of Q%? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A shopkeeper makes a profit of Q% by selling an object for Rs. 24. Had the cost price and selling price been interchanged, it would have led to a loss of 62.5Q%. with the latter cost price, what should be the new selling price to get a profit of Q%? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper makes a profit of Q% by selling an object for Rs. 24. Had the cost price and selling price been interchanged, it would have led to a loss of 62.5Q%. with the latter cost price, what should be the new selling price to get a profit of Q%?.
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