a pen is sold for rs 11 and makes the same percentage of profit for wch if was purchased. find its purchase price
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The purchase price of the pen = Rs. 10.
Selling price of the pen is equal to Rs. 11
Let the purchase price of the pen be x , then the profit percentage of the pen is equal to x%.
Profit = selling price - purchase price
= 11 - x
Profit% = (Profit/purchase price) × 100
=> x = (11-x/x) × 100
=> x² = 1100 -100x
=> x² +100x -1100 = 0
=> x² +110x -10x -1100 = 0
=> x(x+110)-10(x+110) = p
=> x = 10 , -110(not possible as x cannot be negative)
The purchase price of the pen is equal to Rs. 10.
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